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Finding the Third Proportional to 104,077.13 and 227,414.25

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Solution

The third proportional to 104,077.13 and 227,414.25 is: 496,912.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,077.13 : 227,414.25 = 227,414.25 : x
  2. Step 2: Convert to fraction form
    104,077.13/227,414.25 = 227,414.25/x
  3. Step 3: Cross multiply
    104,077.13x = 227,414.25 × 227,414.25
  4. Step 4: Simplify right side
    104,077.13x = 51,717,241,103.06
  5. Step 5: Solve for x
    x = 51,717,241,103.06/104,077.13
  6. Step 6: Final answer
    x = 496,912.66

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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.