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Finding the Third Proportional to 169,148,202.75 and 269,150,839.13

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Solution

The third proportional to 169,148,202.75 and 269,150,839.13 is: 428,276,345.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,148,202.75 : 269,150,839.13 = 269,150,839.13 : x
  2. Step 2: Convert to fraction form
    169,148,202.75/269,150,839.13 = 269,150,839.13/x
  3. Step 3: Cross multiply
    169,148,202.75x = 269,150,839.13 × 269,150,839.13
  4. Step 4: Simplify right side
    169,148,202.75x = 72,442,174,201,691,632
  5. Step 5: Solve for x
    x = 72,442,174,201,691,632/169,148,202.75
  6. Step 6: Final answer
    x = 428,276,345.97

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.