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Finding the Third Proportional to 95,181 and 204,717

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Solution

The third proportional to 95,181 and 204,717 is: 440,308.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,181 : 204,717 = 204,717 : x
  2. Step 2: Convert to fraction form
    95,181/204,717 = 204,717/x
  3. Step 3: Cross multiply
    95,181x = 204,717 × 204,717
  4. Step 4: Simplify right side
    95,181x = 41,909,050,089
  5. Step 5: Solve for x
    x = 41,909,050,089/95,181
  6. Step 6: Final answer
    x = 440,308.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.