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Finding the Third Proportional to 87,974.75 and 191,827.75

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Solution

The third proportional to 87,974.75 and 191,827.75 is: 418,277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,974.75 : 191,827.75 = 191,827.75 : x
  2. Step 2: Convert to fraction form
    87,974.75/191,827.75 = 191,827.75/x
  3. Step 3: Cross multiply
    87,974.75x = 191,827.75 × 191,827.75
  4. Step 4: Simplify right side
    87,974.75x = 36,797,885,670.06
  5. Step 5: Solve for x
    x = 36,797,885,670.06/87,974.75
  6. Step 6: Final answer
    x = 418,277.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.