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Finding the Third Proportional to 43,201.13 and 89,849.25

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Solution

The third proportional to 43,201.13 and 89,849.25 is: 186,867.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,201.13 : 89,849.25 = 89,849.25 : x
  2. Step 2: Convert to fraction form
    43,201.13/89,849.25 = 89,849.25/x
  3. Step 3: Cross multiply
    43,201.13x = 89,849.25 × 89,849.25
  4. Step 4: Simplify right side
    43,201.13x = 8,072,887,725.56
  5. Step 5: Solve for x
    x = 8,072,887,725.56/43,201.13
  6. Step 6: Final answer
    x = 186,867.53

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.