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Finding the Third Proportional to 101,634 and 220,212

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Solution

The third proportional to 101,634 and 220,212 is: 477,136.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,634 : 220,212 = 220,212 : x
  2. Step 2: Convert to fraction form
    101,634/220,212 = 220,212/x
  3. Step 3: Cross multiply
    101,634x = 220,212 × 220,212
  4. Step 4: Simplify right side
    101,634x = 48,493,324,944
  5. Step 5: Solve for x
    x = 48,493,324,944/101,634
  6. Step 6: Final answer
    x = 477,136.83

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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.