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Finding the Third Proportional to 119,129,317,249.22 and 255,253,995,593.71

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Solution

The third proportional to 119,129,317,249.22 and 255,253,995,593.71 is: 546,923,324,761.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,129,317,249.22 : 255,253,995,593.71 = 255,253,995,593.71 : x
  2. Step 2: Convert to fraction form
    119,129,317,249.22/255,253,995,593.71 = 255,253,995,593.71/x
  3. Step 3: Cross multiply
    119,129,317,249.22x = 255,253,995,593.71 × 255,253,995,593.71
  4. Step 4: Simplify right side
    119,129,317,249.22x = 65,154,602,266,553,722,339,328
  5. Step 5: Solve for x
    x = 65,154,602,266,553,722,339,328/119,129,317,249.22
  6. Step 6: Final answer
    x = 546,923,324,761.86

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.