Importance of academic rankings?

Penn is definitely the stronger school. It is ranked higher overall and in math. The SAT scores are similar because Penn puts more weight on GPA and ECs.

For top business schools, Penn students are admitted to top schools at a 100% higher rate than Georgetown students. http://talk.collegeconfidential.com/business-school-mba/1224650-top-feeder-colleges-to-americas-elite-b-schools-p1.html

Penn would also provide you with the opportunity to explore engineering, which I do not believe Georgetown has.

Penn has a stronger financial position and endowment which translates into better opportunities for students.

Parchment shows 84% of cross admits attending Penn over Georgetown.

Having said that, you should find the place that is best for you. I am just pointing out that they are not “essentially the same.” Georgetown is a good school, but will not provide the level of opportunities and challenge that Penn can for most students. In the end it depends on what you prefer. In the end none of us ever know what would have happened if we had made a different college decision.