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Finding the Third Proportional to 89,403.75 and 193,326.75

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Solution

The third proportional to 89,403.75 and 193,326.75 is: 418,049.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,403.75 : 193,326.75 = 193,326.75 : x
  2. Step 2: Convert to fraction form
    89,403.75/193,326.75 = 193,326.75/x
  3. Step 3: Cross multiply
    89,403.75x = 193,326.75 × 193,326.75
  4. Step 4: Simplify right side
    89,403.75x = 37,375,232,265.56
  5. Step 5: Solve for x
    x = 37,375,232,265.56/89,403.75
  6. Step 6: Final answer
    x = 418,049.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.