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Finding the Third Proportional to 43,726.50 and 96,641.25

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Solution

The third proportional to 43,726.50 and 96,641.25 is: 213,589.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,726.50 : 96,641.25 = 96,641.25 : x
  2. Step 2: Convert to fraction form
    43,726.50/96,641.25 = 96,641.25/x
  3. Step 3: Cross multiply
    43,726.50x = 96,641.25 × 96,641.25
  4. Step 4: Simplify right side
    43,726.50x = 9,339,531,201.56
  5. Step 5: Solve for x
    x = 9,339,531,201.56/43,726.50
  6. Step 6: Final answer
    x = 213,589.73

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.