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Finding the Third Proportional to 90,956 and 196,858

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Solution

The third proportional to 90,956 and 196,858 is: 426,063.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,956 : 196,858 = 196,858 : x
  2. Step 2: Convert to fraction form
    90,956/196,858 = 196,858/x
  3. Step 3: Cross multiply
    90,956x = 196,858 × 196,858
  4. Step 4: Simplify right side
    90,956x = 38,753,072,164
  5. Step 5: Solve for x
    x = 38,753,072,164/90,956
  6. Step 6: Final answer
    x = 426,063.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.