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Finding the Third Proportional to 95,538,121.31 and 208,959,784.17

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Solution

The third proportional to 95,538,121.31 and 208,959,784.17 is: 457,034,226.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,538,121.31 : 208,959,784.17 = 208,959,784.17 : x
  2. Step 2: Convert to fraction form
    95,538,121.31/208,959,784.17 = 208,959,784.17/x
  3. Step 3: Cross multiply
    95,538,121.31x = 208,959,784.17 × 208,959,784.17
  4. Step 4: Simplify right side
    95,538,121.31x = 43,664,191,401,158,672
  5. Step 5: Solve for x
    x = 43,664,191,401,158,672/95,538,121.31
  6. Step 6: Final answer
    x = 457,034,226.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.