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Finding the Third Proportional to 103,909.50 and 223,711.88

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Solution

The third proportional to 103,909.50 and 223,711.88 is: 481,640.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,909.50 : 223,711.88 = 223,711.88 : x
  2. Step 2: Convert to fraction form
    103,909.50/223,711.88 = 223,711.88/x
  3. Step 3: Cross multiply
    103,909.50x = 223,711.88 × 223,711.88
  4. Step 4: Simplify right side
    103,909.50x = 50,047,003,016.02
  5. Step 5: Solve for x
    x = 50,047,003,016.02/103,909.50
  6. Step 6: Final answer
    x = 481,640.30

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