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Finding the Third Proportional to 41,695.50 and 96,444.75

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Solution

The third proportional to 41,695.50 and 96,444.75 is: 223,083.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,695.50 : 96,444.75 = 96,444.75 : x
  2. Step 2: Convert to fraction form
    41,695.50/96,444.75 = 96,444.75/x
  3. Step 3: Cross multiply
    41,695.50x = 96,444.75 × 96,444.75
  4. Step 4: Simplify right side
    41,695.50x = 9,301,589,802.56
  5. Step 5: Solve for x
    x = 9,301,589,802.56/41,695.50
  6. Step 6: Final answer
    x = 223,083.78

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.