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Finding the Third Proportional to 234,219,876.75 and 363,838,689

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Solution

The third proportional to 234,219,876.75 and 363,838,689 is: 565,189,400.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,219,876.75 : 363,838,689 = 363,838,689 : x
  2. Step 2: Convert to fraction form
    234,219,876.75/363,838,689 = 363,838,689/x
  3. Step 3: Cross multiply
    234,219,876.75x = 363,838,689 × 363,838,689
  4. Step 4: Simplify right side
    234,219,876.75x = 132,378,591,613,238,720
  5. Step 5: Solve for x
    x = 132,378,591,613,238,720/234,219,876.75
  6. Step 6: Final answer
    x = 565,189,400.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.