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Finding the Third Proportional to 95,229.13 and 203,114.38

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Solution

The third proportional to 95,229.13 and 203,114.38 is: 433,223.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,229.13 : 203,114.38 = 203,114.38 : x
  2. Step 2: Convert to fraction form
    95,229.13/203,114.38 = 203,114.38/x
  3. Step 3: Cross multiply
    95,229.13x = 203,114.38 × 203,114.38
  4. Step 4: Simplify right side
    95,229.13x = 41,255,449,331.64
  5. Step 5: Solve for x
    x = 41,255,449,331.64/95,229.13
  6. Step 6: Final answer
    x = 433,223.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.