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Finding the Third Proportional to 160,991,792 and 251,053,624

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Solution

The third proportional to 160,991,792 and 251,053,624 is: 391,497,736.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,991,792 : 251,053,624 = 251,053,624 : x
  2. Step 2: Convert to fraction form
    160,991,792/251,053,624 = 251,053,624/x
  3. Step 3: Cross multiply
    160,991,792x = 251,053,624 × 251,053,624
  4. Step 4: Simplify right side
    160,991,792x = 63,027,922,123,533,376
  5. Step 5: Solve for x
    x = 63,027,922,123,533,376/160,991,792
  6. Step 6: Final answer
    x = 391,497,736.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.