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Finding the Third Proportional to 104,086.50 and 222,930.75

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Solution

The third proportional to 104,086.50 and 222,930.75 is: 477,469.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,086.50 : 222,930.75 = 222,930.75 : x
  2. Step 2: Convert to fraction form
    104,086.50/222,930.75 = 222,930.75/x
  3. Step 3: Cross multiply
    104,086.50x = 222,930.75 × 222,930.75
  4. Step 4: Simplify right side
    104,086.50x = 49,698,119,295.56
  5. Step 5: Solve for x
    x = 49,698,119,295.56/104,086.50
  6. Step 6: Final answer
    x = 477,469.41

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.