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Finding the Third Proportional to 92,081 and 197,230

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Solution

The third proportional to 92,081 and 197,230 is: 422,450.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,081 : 197,230 = 197,230 : x
  2. Step 2: Convert to fraction form
    92,081/197,230 = 197,230/x
  3. Step 3: Cross multiply
    92,081x = 197,230 × 197,230
  4. Step 4: Simplify right side
    92,081x = 38,899,672,900
  5. Step 5: Solve for x
    x = 38,899,672,900/92,081
  6. Step 6: Final answer
    x = 422,450.59

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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.