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Finding the Third Proportional to 106,543.13 and 229,691.13

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Solution

The third proportional to 106,543.13 and 229,691.13 is: 495,179.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,543.13 : 229,691.13 = 229,691.13 : x
  2. Step 2: Convert to fraction form
    106,543.13/229,691.13 = 229,691.13/x
  3. Step 3: Cross multiply
    106,543.13x = 229,691.13 × 229,691.13
  4. Step 4: Simplify right side
    106,543.13x = 52,758,012,903.77
  5. Step 5: Solve for x
    x = 52,758,012,903.77/106,543.13
  6. Step 6: Final answer
    x = 495,179.89

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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.