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Finding the Third Proportional to 89,198 and 193,098

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Solution

The third proportional to 89,198 and 193,098 is: 418,023.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,198 : 193,098 = 193,098 : x
  2. Step 2: Convert to fraction form
    89,198/193,098 = 193,098/x
  3. Step 3: Cross multiply
    89,198x = 193,098 × 193,098
  4. Step 4: Simplify right side
    89,198x = 37,286,837,604
  5. Step 5: Solve for x
    x = 37,286,837,604/89,198
  6. Step 6: Final answer
    x = 418,023.25

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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.