A full reading for Tiger × Libra meeting Rat × Sagittarius is on the way. In the meantime, the score above is computed from the canonical element matrix and sign-cycle distance, and the profiles below cover each side individually.
The Tiger/Libra is slavishly devoted to the ideal love -- so much so, in fact, that you have a hard time coping with all of the real love out there, stemming as it does from real people who can often get on your nerves when they won't adhere to your entirely arbitrary sense of aesthetic order. Having the milk of the Tiger to sustain you, however, you are more prone than the average Libra to attempting to force others to fit your patterns, with the result that you are invited to slightly fewer parties than the average Libra.
Always traveling and never getting to the destination -- this sums up the adventuresome and picaresque Rat/Sagittarius. With much of the candid nature of your occidental Sagittarius sign heritage, you are very much the cards-on-the-table sort of interpersonal negotiators. Too many hidden agendas can cause you to take a powder, and this is as true of your career as it is of your relationships.