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Finding the Third Proportional to 101,997 and 218,743

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Solution

The third proportional to 101,997 and 218,743 is: 469,116.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,997 : 218,743 = 218,743 : x
  2. Step 2: Convert to fraction form
    101,997/218,743 = 218,743/x
  3. Step 3: Cross multiply
    101,997x = 218,743 × 218,743
  4. Step 4: Simplify right side
    101,997x = 47,848,500,049
  5. Step 5: Solve for x
    x = 47,848,500,049/101,997
  6. Step 6: Final answer
    x = 469,116.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.