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Finding the Third Proportional to 83,247.75 and 182,057.63

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Solution

The third proportional to 83,247.75 and 182,057.63 is: 398,148.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,247.75 : 182,057.63 = 182,057.63 : x
  2. Step 2: Convert to fraction form
    83,247.75/182,057.63 = 182,057.63/x
  3. Step 3: Cross multiply
    83,247.75x = 182,057.63 × 182,057.63
  4. Step 4: Simplify right side
    83,247.75x = 33,144,978,820.64
  5. Step 5: Solve for x
    x = 33,144,978,820.64/83,247.75
  6. Step 6: Final answer
    x = 398,148.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.