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Finding the Third Proportional to 92,179 and 197,414

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Solution

The third proportional to 92,179 and 197,414 is: 422,789.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,179 : 197,414 = 197,414 : x
  2. Step 2: Convert to fraction form
    92,179/197,414 = 197,414/x
  3. Step 3: Cross multiply
    92,179x = 197,414 × 197,414
  4. Step 4: Simplify right side
    92,179x = 38,972,287,396
  5. Step 5: Solve for x
    x = 38,972,287,396/92,179
  6. Step 6: Final answer
    x = 422,789.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.