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Finding the Third Proportional to 81,098,278.31 and 167,945,086.13

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Solution

The third proportional to 81,098,278.31 and 167,945,086.13 is: 347,794,707.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,098,278.31 : 167,945,086.13 = 167,945,086.13 : x
  2. Step 2: Convert to fraction form
    81,098,278.31/167,945,086.13 = 167,945,086.13/x
  3. Step 3: Cross multiply
    81,098,278.31x = 167,945,086.13 × 167,945,086.13
  4. Step 4: Simplify right side
    81,098,278.31x = 28,205,551,953,533,668
  5. Step 5: Solve for x
    x = 28,205,551,953,533,668/81,098,278.31
  6. Step 6: Final answer
    x = 347,794,707.12

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.