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Finding the Third Proportional to 43,827.75 and 86,491.13

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Solution

The third proportional to 43,827.75 and 86,491.13 is: 170,684.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,827.75 : 86,491.13 = 86,491.13 : x
  2. Step 2: Convert to fraction form
    43,827.75/86,491.13 = 86,491.13/x
  3. Step 3: Cross multiply
    43,827.75x = 86,491.13 × 86,491.13
  4. Step 4: Simplify right side
    43,827.75x = 7,480,714,703.77
  5. Step 5: Solve for x
    x = 7,480,714,703.77/43,827.75
  6. Step 6: Final answer
    x = 170,684.43

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.