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Finding the Third Proportional to 101,996 and 218,738

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Solution

The third proportional to 101,996 and 218,738 is: 469,099.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,996 : 218,738 = 218,738 : x
  2. Step 2: Convert to fraction form
    101,996/218,738 = 218,738/x
  3. Step 3: Cross multiply
    101,996x = 218,738 × 218,738
  4. Step 4: Simplify right side
    101,996x = 47,846,312,644
  5. Step 5: Solve for x
    x = 47,846,312,644/101,996
  6. Step 6: Final answer
    x = 469,099.89

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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.