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Finding the Third Proportional to 94,849 and 198,466

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Solution

The third proportional to 94,849 and 198,466 is: 415,278.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,849 : 198,466 = 198,466 : x
  2. Step 2: Convert to fraction form
    94,849/198,466 = 198,466/x
  3. Step 3: Cross multiply
    94,849x = 198,466 × 198,466
  4. Step 4: Simplify right side
    94,849x = 39,388,753,156
  5. Step 5: Solve for x
    x = 39,388,753,156/94,849
  6. Step 6: Final answer
    x = 415,278.53

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.