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Finding the Third Proportional to 82,324,287 and 178,996,934

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Solution

The third proportional to 82,324,287 and 178,996,934 is: 389,191,374.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,324,287 : 178,996,934 = 178,996,934 : x
  2. Step 2: Convert to fraction form
    82,324,287/178,996,934 = 178,996,934/x
  3. Step 3: Cross multiply
    82,324,287x = 178,996,934 × 178,996,934
  4. Step 4: Simplify right side
    82,324,287x = 32,039,902,381,400,356
  5. Step 5: Solve for x
    x = 32,039,902,381,400,356/82,324,287
  6. Step 6: Final answer
    x = 389,191,374.13

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Why These Related Problems?

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