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Finding the Third Proportional to 154,989,175,988 and 242,600,391,512

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Solution

The third proportional to 154,989,175,988 and 242,600,391,512 is: 379,735,872,434.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,989,175,988 : 242,600,391,512 = 242,600,391,512 : x
  2. Step 2: Convert to fraction form
    154,989,175,988/242,600,391,512 = 242,600,391,512/x
  3. Step 3: Cross multiply
    154,989,175,988x = 242,600,391,512 × 242,600,391,512
  4. Step 4: Simplify right side
    154,989,175,988x = 58,854,949,961,775,680,847,872
  5. Step 5: Solve for x
    x = 58,854,949,961,775,680,847,872/154,989,175,988
  6. Step 6: Final answer
    x = 379,735,872,434.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.