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Finding the Third Proportional to 209,770,452.38 and 329,067,941.13

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Solution

The third proportional to 209,770,452.38 and 329,067,941.13 is: 516,210,498.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,770,452.38 : 329,067,941.13 = 329,067,941.13 : x
  2. Step 2: Convert to fraction form
    209,770,452.38/329,067,941.13 = 329,067,941.13/x
  3. Step 3: Cross multiply
    209,770,452.38x = 329,067,941.13 × 329,067,941.13
  4. Step 4: Simplify right side
    209,770,452.38x = 108,285,709,876,246,464
  5. Step 5: Solve for x
    x = 108,285,709,876,246,464/209,770,452.38
  6. Step 6: Final answer
    x = 516,210,498.91

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.