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Finding the Third Proportional to 98,815,889.25 and 214,642,578.38

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Solution

The third proportional to 98,815,889.25 and 214,642,578.38 is: 466,235,104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,815,889.25 : 214,642,578.38 = 214,642,578.38 : x
  2. Step 2: Convert to fraction form
    98,815,889.25/214,642,578.38 = 214,642,578.38/x
  3. Step 3: Cross multiply
    98,815,889.25x = 214,642,578.38 × 214,642,578.38
  4. Step 4: Simplify right side
    98,815,889.25x = 46,071,436,451,468,016
  5. Step 5: Solve for x
    x = 46,071,436,451,468,016/98,815,889.25
  6. Step 6: Final answer
    x = 466,235,104.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.