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Finding the Third Proportional to 100,850 and 220,166

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Solution

The third proportional to 100,850 and 220,166 is: 480,645.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,850 : 220,166 = 220,166 : x
  2. Step 2: Convert to fraction form
    100,850/220,166 = 220,166/x
  3. Step 3: Cross multiply
    100,850x = 220,166 × 220,166
  4. Step 4: Simplify right side
    100,850x = 48,473,067,556
  5. Step 5: Solve for x
    x = 48,473,067,556/100,850
  6. Step 6: Final answer
    x = 480,645.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.