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Finding the Third Proportional to 89,140.97 and 198,212.69

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Solution

The third proportional to 89,140.97 and 198,212.69 is: 440,743.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,140.97 : 198,212.69 = 198,212.69 : x
  2. Step 2: Convert to fraction form
    89,140.97/198,212.69 = 198,212.69/x
  3. Step 3: Cross multiply
    89,140.97x = 198,212.69 × 198,212.69
  4. Step 4: Simplify right side
    89,140.97x = 39,288,269,485.97
  5. Step 5: Solve for x
    x = 39,288,269,485.97/89,140.97
  6. Step 6: Final answer
    x = 440,743.13

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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.