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Finding the Third Proportional to 89,233.50 and 200,937.75

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Solution

The third proportional to 89,233.50 and 200,937.75 is: 452,475.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,233.50 : 200,937.75 = 200,937.75 : x
  2. Step 2: Convert to fraction form
    89,233.50/200,937.75 = 200,937.75/x
  3. Step 3: Cross multiply
    89,233.50x = 200,937.75 × 200,937.75
  4. Step 4: Simplify right side
    89,233.50x = 40,375,979,375.06
  5. Step 5: Solve for x
    x = 40,375,979,375.06/89,233.50
  6. Step 6: Final answer
    x = 452,475.58

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.