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Finding the Third Proportional to 45,856.13 and 96,689.25

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Solution

The third proportional to 45,856.13 and 96,689.25 is: 203,872.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,856.13 : 96,689.25 = 96,689.25 : x
  2. Step 2: Convert to fraction form
    45,856.13/96,689.25 = 96,689.25/x
  3. Step 3: Cross multiply
    45,856.13x = 96,689.25 × 96,689.25
  4. Step 4: Simplify right side
    45,856.13x = 9,348,811,065.56
  5. Step 5: Solve for x
    x = 9,348,811,065.56/45,856.13
  6. Step 6: Final answer
    x = 203,872.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.