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Finding the Third Proportional to 106,274.53 and 224,545.92

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Solution

The third proportional to 106,274.53 and 224,545.92 is: 474,439.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,274.53 : 224,545.92 = 224,545.92 : x
  2. Step 2: Convert to fraction form
    106,274.53/224,545.92 = 224,545.92/x
  3. Step 3: Cross multiply
    106,274.53x = 224,545.92 × 224,545.92
  4. Step 4: Simplify right side
    106,274.53x = 50,420,871,030.69
  5. Step 5: Solve for x
    x = 50,420,871,030.69/106,274.53
  6. Step 6: Final answer
    x = 474,439.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.