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Finding the Third Proportional to 103,872.38 and 223,633.41

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Solution

The third proportional to 103,872.38 and 223,633.41 is: 481,474.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,872.38 : 223,633.41 = 223,633.41 : x
  2. Step 2: Convert to fraction form
    103,872.38/223,633.41 = 223,633.41/x
  3. Step 3: Cross multiply
    103,872.38x = 223,633.41 × 223,633.41
  4. Step 4: Simplify right side
    103,872.38x = 50,011,900,390.98
  5. Step 5: Solve for x
    x = 50,011,900,390.98/103,872.38
  6. Step 6: Final answer
    x = 481,474.51

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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.