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Finding the Third Proportional to 84,883.31 and 179,885.25

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Solution

The third proportional to 84,883.31 and 179,885.25 is: 381,213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,883.31 : 179,885.25 = 179,885.25 : x
  2. Step 2: Convert to fraction form
    84,883.31/179,885.25 = 179,885.25/x
  3. Step 3: Cross multiply
    84,883.31x = 179,885.25 × 179,885.25
  4. Step 4: Simplify right side
    84,883.31x = 32,358,703,167.56
  5. Step 5: Solve for x
    x = 32,358,703,167.56/84,883.31
  6. Step 6: Final answer
    x = 381,213.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.