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Finding the Third Proportional to 89,251.50 and 193,198.50

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Solution

The third proportional to 89,251.50 and 193,198.50 is: 418,207.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,251.50 : 193,198.50 = 193,198.50 : x
  2. Step 2: Convert to fraction form
    89,251.50/193,198.50 = 193,198.50/x
  3. Step 3: Cross multiply
    89,251.50x = 193,198.50 × 193,198.50
  4. Step 4: Simplify right side
    89,251.50x = 37,325,660,402.25
  5. Step 5: Solve for x
    x = 37,325,660,402.25/89,251.50
  6. Step 6: Final answer
    x = 418,207.65

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Why These Related Problems?

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