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Finding the Third Proportional to 101,793 and 218,634

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Solution

The third proportional to 101,793 and 218,634 is: 469,588.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,793 : 218,634 = 218,634 : x
  2. Step 2: Convert to fraction form
    101,793/218,634 = 218,634/x
  3. Step 3: Cross multiply
    101,793x = 218,634 × 218,634
  4. Step 4: Simplify right side
    101,793x = 47,800,825,956
  5. Step 5: Solve for x
    x = 47,800,825,956/101,793
  6. Step 6: Final answer
    x = 469,588.54

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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.