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Finding the Third Proportional to 104,160.94 and 224,542.13

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Solution

The third proportional to 104,160.94 and 224,542.13 is: 484,050.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,160.94 : 224,542.13 = 224,542.13 : x
  2. Step 2: Convert to fraction form
    104,160.94/224,542.13 = 224,542.13/x
  3. Step 3: Cross multiply
    104,160.94x = 224,542.13 × 224,542.13
  4. Step 4: Simplify right side
    104,160.94x = 50,419,165,899.52
  5. Step 5: Solve for x
    x = 50,419,165,899.52/104,160.94
  6. Step 6: Final answer
    x = 484,050.62

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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.