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Finding the Third Proportional to 89,412.75 and 193,344.75

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Solution

The third proportional to 89,412.75 and 193,344.75 is: 418,085.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,412.75 : 193,344.75 = 193,344.75 : x
  2. Step 2: Convert to fraction form
    89,412.75/193,344.75 = 193,344.75/x
  3. Step 3: Cross multiply
    89,412.75x = 193,344.75 × 193,344.75
  4. Step 4: Simplify right side
    89,412.75x = 37,382,192,352.56
  5. Step 5: Solve for x
    x = 37,382,192,352.56/89,412.75
  6. Step 6: Final answer
    x = 418,085.70

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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.