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Finding the Third Proportional to 103,525.59 and 223,651.13

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Solution

The third proportional to 103,525.59 and 223,651.13 is: 483,163.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,525.59 : 223,651.13 = 223,651.13 : x
  2. Step 2: Convert to fraction form
    103,525.59/223,651.13 = 223,651.13/x
  3. Step 3: Cross multiply
    103,525.59x = 223,651.13 × 223,651.13
  4. Step 4: Simplify right side
    103,525.59x = 50,019,825,713.77
  5. Step 5: Solve for x
    x = 50,019,825,713.77/103,525.59
  6. Step 6: Final answer
    x = 483,163.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.