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Finding the Third Proportional to 90,917.44 and 193,326.75

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Solution

The third proportional to 90,917.44 and 193,326.75 is: 411,089.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,917.44 : 193,326.75 = 193,326.75 : x
  2. Step 2: Convert to fraction form
    90,917.44/193,326.75 = 193,326.75/x
  3. Step 3: Cross multiply
    90,917.44x = 193,326.75 × 193,326.75
  4. Step 4: Simplify right side
    90,917.44x = 37,375,232,265.56
  5. Step 5: Solve for x
    x = 37,375,232,265.56/90,917.44
  6. Step 6: Final answer
    x = 411,089.81

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.