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Finding the Third Proportional to 106,204 and 229,615

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Solution

The third proportional to 106,204 and 229,615 is: 496,431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,204 : 229,615 = 229,615 : x
  2. Step 2: Convert to fraction form
    106,204/229,615 = 229,615/x
  3. Step 3: Cross multiply
    106,204x = 229,615 × 229,615
  4. Step 4: Simplify right side
    106,204x = 52,723,048,225
  5. Step 5: Solve for x
    x = 52,723,048,225/106,204
  6. Step 6: Final answer
    x = 496,431.85

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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.