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Finding the Third Proportional to 95,190.75 and 206,781.75

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Solution

The third proportional to 95,190.75 and 206,781.75 is: 449,189.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,190.75 : 206,781.75 = 206,781.75 : x
  2. Step 2: Convert to fraction form
    95,190.75/206,781.75 = 206,781.75/x
  3. Step 3: Cross multiply
    95,190.75x = 206,781.75 × 206,781.75
  4. Step 4: Simplify right side
    95,190.75x = 42,758,692,133.06
  5. Step 5: Solve for x
    x = 42,758,692,133.06/95,190.75
  6. Step 6: Final answer
    x = 449,189.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.