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Finding the Third Proportional to 103,912.24 and 223,364.46

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Solution

The third proportional to 103,912.24 and 223,364.46 is: 480,132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,912.24 : 223,364.46 = 223,364.46 : x
  2. Step 2: Convert to fraction form
    103,912.24/223,364.46 = 223,364.46/x
  3. Step 3: Cross multiply
    103,912.24x = 223,364.46 × 223,364.46
  4. Step 4: Simplify right side
    103,912.24x = 49,891,682,409.90
  5. Step 5: Solve for x
    x = 49,891,682,409.90/103,912.24
  6. Step 6: Final answer
    x = 480,132.86

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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.