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Finding the Third Proportional to 95,091.75 and 200,793.75

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Solution

The third proportional to 95,091.75 and 200,793.75 is: 423,991.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,091.75 : 200,793.75 = 200,793.75 : x
  2. Step 2: Convert to fraction form
    95,091.75/200,793.75 = 200,793.75/x
  3. Step 3: Cross multiply
    95,091.75x = 200,793.75 × 200,793.75
  4. Step 4: Simplify right side
    95,091.75x = 40,318,130,039.06
  5. Step 5: Solve for x
    x = 40,318,130,039.06/95,091.75
  6. Step 6: Final answer
    x = 423,991.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.