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Finding the Third Proportional to 103,932 and 223,890.50

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Solution

The third proportional to 103,932 and 223,890.50 is: 482,305.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,932 : 223,890.50 = 223,890.50 : x
  2. Step 2: Convert to fraction form
    103,932/223,890.50 = 223,890.50/x
  3. Step 3: Cross multiply
    103,932x = 223,890.50 × 223,890.50
  4. Step 4: Simplify right side
    103,932x = 50,126,955,990.25
  5. Step 5: Solve for x
    x = 50,126,955,990.25/103,932
  6. Step 6: Final answer
    x = 482,305.31

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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.