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Finding the Third Proportional to 91,566.38 and 190,150.13

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Solution

The third proportional to 91,566.38 and 190,150.13 is: 394,872.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,566.38 : 190,150.13 = 190,150.13 : x
  2. Step 2: Convert to fraction form
    91,566.38/190,150.13 = 190,150.13/x
  3. Step 3: Cross multiply
    91,566.38x = 190,150.13 × 190,150.13
  4. Step 4: Simplify right side
    91,566.38x = 36,157,070,037.52
  5. Step 5: Solve for x
    x = 36,157,070,037.52/91,566.38
  6. Step 6: Final answer
    x = 394,872.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.