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Finding the Third Proportional to 160,991,938 and 251,053,836

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Solution

The third proportional to 160,991,938 and 251,053,836 is: 391,498,042.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,991,938 : 251,053,836 = 251,053,836 : x
  2. Step 2: Convert to fraction form
    160,991,938/251,053,836 = 251,053,836/x
  3. Step 3: Cross multiply
    160,991,938x = 251,053,836 × 251,053,836
  4. Step 4: Simplify right side
    160,991,938x = 63,028,028,570,314,896
  5. Step 5: Solve for x
    x = 63,028,028,570,314,896/160,991,938
  6. Step 6: Final answer
    x = 391,498,042.41

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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.