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Finding the Third Proportional to 160,991,920 and 251,053,822

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Solution

The third proportional to 160,991,920 and 251,053,822 is: 391,498,042.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,991,920 : 251,053,822 = 251,053,822 : x
  2. Step 2: Convert to fraction form
    160,991,920/251,053,822 = 251,053,822/x
  3. Step 3: Cross multiply
    160,991,920x = 251,053,822 × 251,053,822
  4. Step 4: Simplify right side
    160,991,920x = 63,028,021,540,807,680
  5. Step 5: Solve for x
    x = 63,028,021,540,807,680/160,991,920
  6. Step 6: Final answer
    x = 391,498,042.52

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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.