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Finding the Third Proportional to 95,425.31 and 147,831.19

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Solution

The third proportional to 95,425.31 and 147,831.19 is: 229,017.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,425.31 : 147,831.19 = 147,831.19 : x
  2. Step 2: Convert to fraction form
    95,425.31/147,831.19 = 147,831.19/x
  3. Step 3: Cross multiply
    95,425.31x = 147,831.19 × 147,831.19
  4. Step 4: Simplify right side
    95,425.31x = 21,854,059,997.66
  5. Step 5: Solve for x
    x = 21,854,059,997.66/95,425.31
  6. Step 6: Final answer
    x = 229,017.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.