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Finding the Third Proportional to 95,259.38 and 203,654.25

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Solution

The third proportional to 95,259.38 and 203,654.25 is: 435,390.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,259.38 : 203,654.25 = 203,654.25 : x
  2. Step 2: Convert to fraction form
    95,259.38/203,654.25 = 203,654.25/x
  3. Step 3: Cross multiply
    95,259.38x = 203,654.25 × 203,654.25
  4. Step 4: Simplify right side
    95,259.38x = 41,475,053,543.06
  5. Step 5: Solve for x
    x = 41,475,053,543.06/95,259.38
  6. Step 6: Final answer
    x = 435,390.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.