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Finding the Third Proportional to 92,163 and 194,163

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Solution

The third proportional to 92,163 and 194,163 is: 409,049.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,163 : 194,163 = 194,163 : x
  2. Step 2: Convert to fraction form
    92,163/194,163 = 194,163/x
  3. Step 3: Cross multiply
    92,163x = 194,163 × 194,163
  4. Step 4: Simplify right side
    92,163x = 37,699,270,569
  5. Step 5: Solve for x
    x = 37,699,270,569/92,163
  6. Step 6: Final answer
    x = 409,049.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.