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Finding the Third Proportional to 89,221.50 and 198,126

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Solution

The third proportional to 89,221.50 and 198,126 is: 439,960.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,221.50 : 198,126 = 198,126 : x
  2. Step 2: Convert to fraction form
    89,221.50/198,126 = 198,126/x
  3. Step 3: Cross multiply
    89,221.50x = 198,126 × 198,126
  4. Step 4: Simplify right side
    89,221.50x = 39,253,911,876
  5. Step 5: Solve for x
    x = 39,253,911,876/89,221.50
  6. Step 6: Final answer
    x = 439,960.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.