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Finding the Third Proportional to 85,951.13 and 203,227.13

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Solution

The third proportional to 85,951.13 and 203,227.13 is: 480,520.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,951.13 : 203,227.13 = 203,227.13 : x
  2. Step 2: Convert to fraction form
    85,951.13/203,227.13 = 203,227.13/x
  3. Step 3: Cross multiply
    85,951.13x = 203,227.13 × 203,227.13
  4. Step 4: Simplify right side
    85,951.13x = 41,301,264,335.77
  5. Step 5: Solve for x
    x = 41,301,264,335.77/85,951.13
  6. Step 6: Final answer
    x = 480,520.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.