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Finding the Third Proportional to 90,711 and 197,165

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Solution

The third proportional to 90,711 and 197,165 is: 428,548.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,711 : 197,165 = 197,165 : x
  2. Step 2: Convert to fraction form
    90,711/197,165 = 197,165/x
  3. Step 3: Cross multiply
    90,711x = 197,165 × 197,165
  4. Step 4: Simplify right side
    90,711x = 38,874,037,225
  5. Step 5: Solve for x
    x = 38,874,037,225/90,711
  6. Step 6: Final answer
    x = 428,548.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.