Well, 5/23/12 is the first time I re-approached a girl without knowing that I approached her in the past. The situation could have been awkward upon the realization of this fact, but actually, I kept my cool...astonishingly.
BACKGROUND INFORMATION:
In the library, at my school, I saw these four hot hot hot girls, all sitting at a table, and one of the girls left somewhere, so a chair was available. I go to the chair, sit down, and say hello to the three girls at the table. They were all quite at first, but I started to mess around and tell them that they all do not know me, and I just came to talk to them because I needed the practice to talk to girls.

everything was ok after that...yup.
5/23/12
I was at a local fast food restaurant ordering food for my cousins. As I waited for my food, I saw these two hot chicks come out of a car. I pretend I do not notice, and see one of the girls (less attractive) sit down at the table as the hotter girl went to order her food. I checked her out for a cool few minutes, and boy was she "banging hot." I figured the girl sitting at the table saw me check out her friend, so I decided to go to both of them because
1) less hot girl saw me.
2) I was about to not approach them because I was thinking of excuses in my head.
I go up to both of them, tell them my name, and I said to the hotter girl:
Me: Hey, do you workout?
Her: No....
Me: Really?
her:really.
Me: really, because you got a fit body. Like, I was checking you out *look at her whole body* and I swear I thought you worked out because I came here to ask if you want to run together.
THE WHOOOOOLE entire time I said that last statement, they laughed their butts off, and then proceeded to tell me that I hit on them once. They then reminded me, and I was like:
Me: I remember her (less hot chick), she has got something about her, but I do not remember you. Wow, I feel all bad.
*they laugh*
Both of them: it's ok.
Me: no, I feel so bad.
them: it's ok, you told us before that you sometimes go to random girls-
Me: well, I kind of gave up that hobby, but it's engrained as an instinct to me now.
BLAH BLAH BLAH, 10mins later.....
I got the girls phone number by asking for her phone, and telling her I want to meet up with her sometime.
OKAAAAAAAAAAAAAY, to handle the awkward situation, you can say forgive yourself of your bad manner, or you can just kind of shrug it off as you are being sympathetic. Basically, try not to place to much importance on the awkward vibe that occurs. :3