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Finding the Third Proportional to 106,691.34 and 229,923.56

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Solution

The third proportional to 106,691.34 and 229,923.56 is: 495,493.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,691.34 : 229,923.56 = 229,923.56 : x
  2. Step 2: Convert to fraction form
    106,691.34/229,923.56 = 229,923.56/x
  3. Step 3: Cross multiply
    106,691.34x = 229,923.56 × 229,923.56
  4. Step 4: Simplify right side
    106,691.34x = 52,864,844,592.69
  5. Step 5: Solve for x
    x = 52,864,844,592.69/106,691.34
  6. Step 6: Final answer
    x = 495,493.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.