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Finding the Third Proportional to 91,910 and 191,596

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Solution

The third proportional to 91,910 and 191,596 is: 399,401.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,910 : 191,596 = 191,596 : x
  2. Step 2: Convert to fraction form
    91,910/191,596 = 191,596/x
  3. Step 3: Cross multiply
    91,910x = 191,596 × 191,596
  4. Step 4: Simplify right side
    91,910x = 36,709,027,216
  5. Step 5: Solve for x
    x = 36,709,027,216/91,910
  6. Step 6: Final answer
    x = 399,401.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.