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Finding the Third Proportional to 42,365.25 and 91,297.13

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Solution

The third proportional to 42,365.25 and 91,297.13 is: 196,745.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,365.25 : 91,297.13 = 91,297.13 : x
  2. Step 2: Convert to fraction form
    42,365.25/91,297.13 = 91,297.13/x
  3. Step 3: Cross multiply
    42,365.25x = 91,297.13 × 91,297.13
  4. Step 4: Simplify right side
    42,365.25x = 8,335,165,033.27
  5. Step 5: Solve for x
    x = 8,335,165,033.27/42,365.25
  6. Step 6: Final answer
    x = 196,745.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.