Love in a different Country

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I recently went down to Mexico for a week's vacation. I live in Michigan and currently am 19. I met a girl down there, she is from France, and works down there. We hung out here and there at the resort, but due to her working, nothing else. I think I am in love. Now that I am back up here in the US, we chat on the phone a little and write letters back and forth. Its been a month since I saw her, and the other night she asked me out. aka dating. I don't know what to say. I would go out with her in a heartbeat if she was up here, but how hard is it to have a relationship with a girl thousands of miles away and that I might see once or twice a year? I just want an second opinion. We have feelings for each other, just reality is stopping me from jumping the gun and saying yes. PLEASE HELP WITH YOUR OPINION