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Finding the Third Proportional to 91,182 and 195,990

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Solution

The third proportional to 91,182 and 195,990 is: 421,268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,182 : 195,990 = 195,990 : x
  2. Step 2: Convert to fraction form
    91,182/195,990 = 195,990/x
  3. Step 3: Cross multiply
    91,182x = 195,990 × 195,990
  4. Step 4: Simplify right side
    91,182x = 38,412,080,100
  5. Step 5: Solve for x
    x = 38,412,080,100/91,182
  6. Step 6: Final answer
    x = 421,268.23

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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.