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Finding the Third Proportional to 37,452.38 and 86,113.13

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Solution

The third proportional to 37,452.38 and 86,113.13 is: 197,997.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,452.38 : 86,113.13 = 86,113.13 : x
  2. Step 2: Convert to fraction form
    37,452.38/86,113.13 = 86,113.13/x
  3. Step 3: Cross multiply
    37,452.38x = 86,113.13 × 86,113.13
  4. Step 4: Simplify right side
    37,452.38x = 7,415,470,297.27
  5. Step 5: Solve for x
    x = 7,415,470,297.27/37,452.38
  6. Step 6: Final answer
    x = 197,997.33

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.