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Finding the Third Proportional to 89,181 and 198,045

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Solution

The third proportional to 89,181 and 198,045 is: 439,800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,181 : 198,045 = 198,045 : x
  2. Step 2: Convert to fraction form
    89,181/198,045 = 198,045/x
  3. Step 3: Cross multiply
    89,181x = 198,045 × 198,045
  4. Step 4: Simplify right side
    89,181x = 39,221,822,025
  5. Step 5: Solve for x
    x = 39,221,822,025/89,181
  6. Step 6: Final answer
    x = 439,800.20

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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.