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Finding the Third Proportional to 43,788.94 and 96,324.19

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Solution

The third proportional to 43,788.94 and 96,324.19 is: 211,887.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,788.94 : 96,324.19 = 96,324.19 : x
  2. Step 2: Convert to fraction form
    43,788.94/96,324.19 = 96,324.19/x
  3. Step 3: Cross multiply
    43,788.94x = 96,324.19 × 96,324.19
  4. Step 4: Simplify right side
    43,788.94x = 9,278,349,097.54
  5. Step 5: Solve for x
    x = 9,278,349,097.54/43,788.94
  6. Step 6: Final answer
    x = 211,887.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.