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Finding the Third Proportional to 95,696 and 206,017

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Solution

The third proportional to 95,696 and 206,017 is: 443,519.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,696 : 206,017 = 206,017 : x
  2. Step 2: Convert to fraction form
    95,696/206,017 = 206,017/x
  3. Step 3: Cross multiply
    95,696x = 206,017 × 206,017
  4. Step 4: Simplify right side
    95,696x = 42,443,004,289
  5. Step 5: Solve for x
    x = 42,443,004,289/95,696
  6. Step 6: Final answer
    x = 443,519.11

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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.