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Finding the Third Proportional to 95,243.75 and 203,609.25

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Solution

The third proportional to 95,243.75 and 203,609.25 is: 435,269.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,243.75 : 203,609.25 = 203,609.25 : x
  2. Step 2: Convert to fraction form
    95,243.75/203,609.25 = 203,609.25/x
  3. Step 3: Cross multiply
    95,243.75x = 203,609.25 × 203,609.25
  4. Step 4: Simplify right side
    95,243.75x = 41,456,726,685.56
  5. Step 5: Solve for x
    x = 41,456,726,685.56/95,243.75
  6. Step 6: Final answer
    x = 435,269.79

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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.