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Finding the Third Proportional to 160,991,686 and 251,053,463

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Solution

The third proportional to 160,991,686 and 251,053,463 is: 391,497,491.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,991,686 : 251,053,463 = 251,053,463 : x
  2. Step 2: Convert to fraction form
    160,991,686/251,053,463 = 251,053,463/x
  3. Step 3: Cross multiply
    160,991,686x = 251,053,463 × 251,053,463
  4. Step 4: Simplify right side
    160,991,686x = 63,027,841,284,292,368
  5. Step 5: Solve for x
    x = 63,027,841,284,292,368/160,991,686
  6. Step 6: Final answer
    x = 391,497,491.89

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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.