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Finding the Third Proportional to 83,469.66 and 196,840.97

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Solution

The third proportional to 83,469.66 and 196,840.97 is: 464,197.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,469.66 : 196,840.97 = 196,840.97 : x
  2. Step 2: Convert to fraction form
    83,469.66/196,840.97 = 196,840.97/x
  3. Step 3: Cross multiply
    83,469.66x = 196,840.97 × 196,840.97
  4. Step 4: Simplify right side
    83,469.66x = 38,746,366,978.44
  5. Step 5: Solve for x
    x = 38,746,366,978.44/83,469.66
  6. Step 6: Final answer
    x = 464,197.04

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.