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Finding the Third Proportional to 141,676.31 and 196,363.13

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Solution

The third proportional to 141,676.31 and 196,363.13 is: 272,158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,676.31 : 196,363.13 = 196,363.13 : x
  2. Step 2: Convert to fraction form
    141,676.31/196,363.13 = 196,363.13/x
  3. Step 3: Cross multiply
    141,676.31x = 196,363.13 × 196,363.13
  4. Step 4: Simplify right side
    141,676.31x = 38,558,476,859.77
  5. Step 5: Solve for x
    x = 38,558,476,859.77/141,676.31
  6. Step 6: Final answer
    x = 272,158.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.