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Finding the Third Proportional to 35,216.44 and 83,049.38

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Solution

The third proportional to 35,216.44 and 83,049.38 is: 195,851.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,216.44 : 83,049.38 = 83,049.38 : x
  2. Step 2: Convert to fraction form
    35,216.44/83,049.38 = 83,049.38/x
  3. Step 3: Cross multiply
    35,216.44x = 83,049.38 × 83,049.38
  4. Step 4: Simplify right side
    35,216.44x = 6,897,198,687.89
  5. Step 5: Solve for x
    x = 6,897,198,687.89/35,216.44
  6. Step 6: Final answer
    x = 195,851.69

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.