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Finding the Third Proportional to 89,231.63 and 131,380.31

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Solution

The third proportional to 89,231.63 and 131,380.31 is: 193,437.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,231.63 : 131,380.31 = 131,380.31 : x
  2. Step 2: Convert to fraction form
    89,231.63/131,380.31 = 131,380.31/x
  3. Step 3: Cross multiply
    89,231.63x = 131,380.31 × 131,380.31
  4. Step 4: Simplify right side
    89,231.63x = 17,260,786,512.60
  5. Step 5: Solve for x
    x = 17,260,786,512.60/89,231.63
  6. Step 6: Final answer
    x = 193,437.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.