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Finding the Third Proportional to 40,236.75 and 85,816.13

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Solution

The third proportional to 40,236.75 and 85,816.13 is: 183,026.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,236.75 : 85,816.13 = 85,816.13 : x
  2. Step 2: Convert to fraction form
    40,236.75/85,816.13 = 85,816.13/x
  3. Step 3: Cross multiply
    40,236.75x = 85,816.13 × 85,816.13
  4. Step 4: Simplify right side
    40,236.75x = 7,364,407,310.02
  5. Step 5: Solve for x
    x = 7,364,407,310.02/40,236.75
  6. Step 6: Final answer
    x = 183,026.89

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.