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Finding the Third Proportional to 96,250,590.14 and 207,844,488.84

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Solution

The third proportional to 96,250,590.14 and 207,844,488.84 is: 448,821,471.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,250,590.14 : 207,844,488.84 = 207,844,488.84 : x
  2. Step 2: Convert to fraction form
    96,250,590.14/207,844,488.84 = 207,844,488.84/x
  3. Step 3: Cross multiply
    96,250,590.14x = 207,844,488.84 × 207,844,488.84
  4. Step 4: Simplify right side
    96,250,590.14x = 43,199,331,542,719,720
  5. Step 5: Solve for x
    x = 43,199,331,542,719,720/96,250,590.14
  6. Step 6: Final answer
    x = 448,821,471.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.