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Finding the Third Proportional to 103,917.38 and 223,375.50

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Solution

The third proportional to 103,917.38 and 223,375.50 is: 480,156.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,917.38 : 223,375.50 = 223,375.50 : x
  2. Step 2: Convert to fraction form
    103,917.38/223,375.50 = 223,375.50/x
  3. Step 3: Cross multiply
    103,917.38x = 223,375.50 × 223,375.50
  4. Step 4: Simplify right side
    103,917.38x = 49,896,614,000.25
  5. Step 5: Solve for x
    x = 49,896,614,000.25/103,917.38
  6. Step 6: Final answer
    x = 480,156.61

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Why These Related Problems?

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