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Finding the Third Proportional to 106,929.38 and 229,654.13

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Solution

The third proportional to 106,929.38 and 229,654.13 is: 493,232.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,929.38 : 229,654.13 = 229,654.13 : x
  2. Step 2: Convert to fraction form
    106,929.38/229,654.13 = 229,654.13/x
  3. Step 3: Cross multiply
    106,929.38x = 229,654.13 × 229,654.13
  4. Step 4: Simplify right side
    106,929.38x = 52,741,017,129.52
  5. Step 5: Solve for x
    x = 52,741,017,129.52/106,929.38
  6. Step 6: Final answer
    x = 493,232.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.