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Finding the Third Proportional to 95,697 and 206,019

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Solution

The third proportional to 95,697 and 206,019 is: 443,523.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,697 : 206,019 = 206,019 : x
  2. Step 2: Convert to fraction form
    95,697/206,019 = 206,019/x
  3. Step 3: Cross multiply
    95,697x = 206,019 × 206,019
  4. Step 4: Simplify right side
    95,697x = 42,443,828,361
  5. Step 5: Solve for x
    x = 42,443,828,361/95,697
  6. Step 6: Final answer
    x = 443,523.08

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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.