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Finding the Third Proportional to 43,733.25 and 91,872.56

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Solution

The third proportional to 43,733.25 and 91,872.56 is: 193,001.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,733.25 : 91,872.56 = 91,872.56 : x
  2. Step 2: Convert to fraction form
    43,733.25/91,872.56 = 91,872.56/x
  3. Step 3: Cross multiply
    43,733.25x = 91,872.56 × 91,872.56
  4. Step 4: Simplify right side
    43,733.25x = 8,440,567,740.32
  5. Step 5: Solve for x
    x = 8,440,567,740.32/43,733.25
  6. Step 6: Final answer
    x = 193,001.15

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.