The term "ate into" is often used to describe situations where something is gradually reducing or consuming something else, typically resources or profits. Some of the synonyms that can be used in place of "ate into" include eroded, depleted, diminished, consumed, reduced, and drained. Each of these words captures the idea of something slowly but steadily being used up or worn away over time. Depending on the context, other words that could be used to replace "ate into" might include decreased, undercut, weakened, or corroded, all of which suggest a gradual decline or erosion. Ultimately, the choice of synonym will depend on the specific situation and the desired tone or emphasis of the message being conveyed.