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Finding the Third Proportional to 135,932.63 and 199,738.13

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Solution

The third proportional to 135,932.63 and 199,738.13 is: 293,493.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,932.63 : 199,738.13 = 199,738.13 : x
  2. Step 2: Convert to fraction form
    135,932.63/199,738.13 = 199,738.13/x
  3. Step 3: Cross multiply
    135,932.63x = 199,738.13 × 199,738.13
  4. Step 4: Simplify right side
    135,932.63x = 39,895,318,578.52
  5. Step 5: Solve for x
    x = 39,895,318,578.52/135,932.63
  6. Step 6: Final answer
    x = 293,493.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.