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Finding the Third Proportional to 101,818.50 and 223,711.50

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Solution

The third proportional to 101,818.50 and 223,711.50 is: 491,529.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,818.50 : 223,711.50 = 223,711.50 : x
  2. Step 2: Convert to fraction form
    101,818.50/223,711.50 = 223,711.50/x
  3. Step 3: Cross multiply
    101,818.50x = 223,711.50 × 223,711.50
  4. Step 4: Simplify right side
    101,818.50x = 50,046,835,232.25
  5. Step 5: Solve for x
    x = 50,046,835,232.25/101,818.50
  6. Step 6: Final answer
    x = 491,529.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.