Infinitely rhymes with:
definitely, indefinitely, affectionately, compassionately, definitely, dispassionately, disproportionately, fortunately, indefinitely, indiscriminately, inordinately, passionately, proportionately, unfortunately
definitely, indefinitely, affectionately, compassionately, definitely, dispassionately, disproportionately, fortunately, indefinitely, indiscriminately, inordinately, passionately, proportionately, unfortunately