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Finding the Third Proportional to 101,786 and 218,644

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Solution

The third proportional to 101,786 and 218,644 is: 469,663.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,786 : 218,644 = 218,644 : x
  2. Step 2: Convert to fraction form
    101,786/218,644 = 218,644/x
  3. Step 3: Cross multiply
    101,786x = 218,644 × 218,644
  4. Step 4: Simplify right side
    101,786x = 47,805,198,736
  5. Step 5: Solve for x
    x = 47,805,198,736/101,786
  6. Step 6: Final answer
    x = 469,663.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.