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Finding the Third Proportional to 101,606 and 220,162

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Solution

The third proportional to 101,606 and 220,162 is: 477,051.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,606 : 220,162 = 220,162 : x
  2. Step 2: Convert to fraction form
    101,606/220,162 = 220,162/x
  3. Step 3: Cross multiply
    101,606x = 220,162 × 220,162
  4. Step 4: Simplify right side
    101,606x = 48,471,306,244
  5. Step 5: Solve for x
    x = 48,471,306,244/101,606
  6. Step 6: Final answer
    x = 477,051.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.