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Finding the Third Proportional to 91,606 and 195,212

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Solution

The third proportional to 91,606 and 195,212 is: 415,995.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,606 : 195,212 = 195,212 : x
  2. Step 2: Convert to fraction form
    91,606/195,212 = 195,212/x
  3. Step 3: Cross multiply
    91,606x = 195,212 × 195,212
  4. Step 4: Simplify right side
    91,606x = 38,107,724,944
  5. Step 5: Solve for x
    x = 38,107,724,944/91,606
  6. Step 6: Final answer
    x = 415,995.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.