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Finding the Third Proportional to 43,633.69 and 101,422.13

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Solution

The third proportional to 43,633.69 and 101,422.13 is: 235,745.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,633.69 : 101,422.13 = 101,422.13 : x
  2. Step 2: Convert to fraction form
    43,633.69/101,422.13 = 101,422.13/x
  3. Step 3: Cross multiply
    43,633.69x = 101,422.13 × 101,422.13
  4. Step 4: Simplify right side
    43,633.69x = 10,286,447,439.52
  5. Step 5: Solve for x
    x = 10,286,447,439.52/43,633.69
  6. Step 6: Final answer
    x = 235,745.54

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.