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Finding the Third Proportional to 160,991,724 and 251,053,526

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Solution

The third proportional to 160,991,724 and 251,053,526 is: 391,497,595.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,991,724 : 251,053,526 = 251,053,526 : x
  2. Step 2: Convert to fraction form
    160,991,724/251,053,526 = 251,053,526/x
  3. Step 3: Cross multiply
    160,991,724x = 251,053,526 × 251,053,526
  4. Step 4: Simplify right side
    160,991,724x = 63,027,872,917,032,672
  5. Step 5: Solve for x
    x = 63,027,872,917,032,672/160,991,724
  6. Step 6: Final answer
    x = 391,497,595.97

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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.