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Finding the Third Proportional to 40,297.50 and 91,297.13

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Solution

The third proportional to 40,297.50 and 91,297.13 is: 206,840.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,297.50 : 91,297.13 = 91,297.13 : x
  2. Step 2: Convert to fraction form
    40,297.50/91,297.13 = 91,297.13/x
  3. Step 3: Cross multiply
    40,297.50x = 91,297.13 × 91,297.13
  4. Step 4: Simplify right side
    40,297.50x = 8,335,165,033.27
  5. Step 5: Solve for x
    x = 8,335,165,033.27/40,297.50
  6. Step 6: Final answer
    x = 206,840.75

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.