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Finding the Third Proportional to 160,991,828 and 251,053,670

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Solution

The third proportional to 160,991,828 and 251,053,670 is: 391,497,792.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,991,828 : 251,053,670 = 251,053,670 : x
  2. Step 2: Convert to fraction form
    160,991,828/251,053,670 = 251,053,670/x
  3. Step 3: Cross multiply
    160,991,828x = 251,053,670 × 251,053,670
  4. Step 4: Simplify right side
    160,991,828x = 63,027,945,220,468,896
  5. Step 5: Solve for x
    x = 63,027,945,220,468,896/160,991,828
  6. Step 6: Final answer
    x = 391,497,792.18

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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.