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Finding the Third Proportional to 101,917 and 216,166

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Solution

The third proportional to 101,917 and 216,166 is: 458,488.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,917 : 216,166 = 216,166 : x
  2. Step 2: Convert to fraction form
    101,917/216,166 = 216,166/x
  3. Step 3: Cross multiply
    101,917x = 216,166 × 216,166
  4. Step 4: Simplify right side
    101,917x = 46,727,739,556
  5. Step 5: Solve for x
    x = 46,727,739,556/101,917
  6. Step 6: Final answer
    x = 458,488.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.