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Finding the Third Proportional to 103,928.06 and 223,882.31

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Solution

The third proportional to 103,928.06 and 223,882.31 is: 482,288.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,928.06 : 223,882.31 = 223,882.31 : x
  2. Step 2: Convert to fraction form
    103,928.06/223,882.31 = 223,882.31/x
  3. Step 3: Cross multiply
    103,928.06x = 223,882.31 × 223,882.31
  4. Step 4: Simplify right side
    103,928.06x = 50,123,289,850.35
  5. Step 5: Solve for x
    x = 50,123,289,850.35/103,928.06
  6. Step 6: Final answer
    x = 482,288.31

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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.