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Finding the Third Proportional to 147,890,772 and 319,164,624

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Solution

The third proportional to 147,890,772 and 319,164,624 is: 688,792,517.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,890,772 : 319,164,624 = 319,164,624 : x
  2. Step 2: Convert to fraction form
    147,890,772/319,164,624 = 319,164,624/x
  3. Step 3: Cross multiply
    147,890,772x = 319,164,624 × 319,164,624
  4. Step 4: Simplify right side
    147,890,772x = 101,866,057,213,061,376
  5. Step 5: Solve for x
    x = 101,866,057,213,061,376/147,890,772
  6. Step 6: Final answer
    x = 688,792,517.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.