The actual potential is 225,000 miles for 3 cards, assuming no Citi AA cards and qualification for the business card. See this post: http://www.flyertalk.com/forum/14386923-post2.html.

The short version--apply for 2 personal cards the same day, wait approximately 65 days and apply for a business card. There are bonuses of 75K AA miles for each card. Read the post carefully, follow its instructions to the letter, and have faith that the links noted to work in that post will still work even though the "official" deadline for these deals has passed and there is no confirmation during the online application process that you will get the miles (this is information that you can confirm through telephone contact with a CSR). If you look at the last few pages of this thread, you'll see recent confirmations, including one from this past Monday.

Good luck!