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Finding the Third Proportional to 43,833.66 and 95,869.83

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Solution

The third proportional to 43,833.66 and 95,869.83 is: 209,679.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,833.66 : 95,869.83 = 95,869.83 : x
  2. Step 2: Convert to fraction form
    43,833.66/95,869.83 = 95,869.83/x
  3. Step 3: Cross multiply
    43,833.66x = 95,869.83 × 95,869.83
  4. Step 4: Simplify right side
    43,833.66x = 9,191,023,944.72
  5. Step 5: Solve for x
    x = 9,191,023,944.72/43,833.66
  6. Step 6: Final answer
    x = 209,679.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.