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Finding the Third Proportional to 102,617.38 and 224,562.94

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Solution

The third proportional to 102,617.38 and 224,562.94 is: 491,422.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,617.38 : 224,562.94 = 224,562.94 : x
  2. Step 2: Convert to fraction form
    102,617.38/224,562.94 = 224,562.94/x
  3. Step 3: Cross multiply
    102,617.38x = 224,562.94 × 224,562.94
  4. Step 4: Simplify right side
    102,617.38x = 50,428,512,898.63
  5. Step 5: Solve for x
    x = 50,428,512,898.63/102,617.38
  6. Step 6: Final answer
    x = 491,422.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.