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Finding the Third Proportional to 43,163.25 and 89,323.50

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Solution

The third proportional to 43,163.25 and 89,323.50 is: 184,849.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,163.25 : 89,323.50 = 89,323.50 : x
  2. Step 2: Convert to fraction form
    43,163.25/89,323.50 = 89,323.50/x
  3. Step 3: Cross multiply
    43,163.25x = 89,323.50 × 89,323.50
  4. Step 4: Simplify right side
    43,163.25x = 7,978,687,652.25
  5. Step 5: Solve for x
    x = 7,978,687,652.25/43,163.25
  6. Step 6: Final answer
    x = 184,849.09

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.