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Finding the Third Proportional to 89,690 and 196,873

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Solution

The third proportional to 89,690 and 196,873 is: 432,143.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,690 : 196,873 = 196,873 : x
  2. Step 2: Convert to fraction form
    89,690/196,873 = 196,873/x
  3. Step 3: Cross multiply
    89,690x = 196,873 × 196,873
  4. Step 4: Simplify right side
    89,690x = 38,758,978,129
  5. Step 5: Solve for x
    x = 38,758,978,129/89,690
  6. Step 6: Final answer
    x = 432,143.81

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.