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Finding the Third Proportional to 103,632.38 and 223,120.50

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Solution

The third proportional to 103,632.38 and 223,120.50 is: 480,378.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,632.38 : 223,120.50 = 223,120.50 : x
  2. Step 2: Convert to fraction form
    103,632.38/223,120.50 = 223,120.50/x
  3. Step 3: Cross multiply
    103,632.38x = 223,120.50 × 223,120.50
  4. Step 4: Simplify right side
    103,632.38x = 49,782,757,520.25
  5. Step 5: Solve for x
    x = 49,782,757,520.25/103,632.38
  6. Step 6: Final answer
    x = 480,378.43

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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.