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Finding the Third Proportional to 43,406.25 and 95,121.75

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Solution

The third proportional to 43,406.25 and 95,121.75 is: 208,452.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,406.25 : 95,121.75 = 95,121.75 : x
  2. Step 2: Convert to fraction form
    43,406.25/95,121.75 = 95,121.75/x
  3. Step 3: Cross multiply
    43,406.25x = 95,121.75 × 95,121.75
  4. Step 4: Simplify right side
    43,406.25x = 9,048,147,323.06
  5. Step 5: Solve for x
    x = 9,048,147,323.06/43,406.25
  6. Step 6: Final answer
    x = 208,452.64

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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.