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Finding the Third Proportional to 91,993.50 and 187,471.13

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Solution

The third proportional to 91,993.50 and 187,471.13 is: 382,042.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,993.50 : 187,471.13 = 187,471.13 : x
  2. Step 2: Convert to fraction form
    91,993.50/187,471.13 = 187,471.13/x
  3. Step 3: Cross multiply
    91,993.50x = 187,471.13 × 187,471.13
  4. Step 4: Simplify right side
    91,993.50x = 35,145,422,708.77
  5. Step 5: Solve for x
    x = 35,145,422,708.77/91,993.50
  6. Step 6: Final answer
    x = 382,042.46

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.