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Finding the Third Proportional to 40,986 and 88,938

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Solution

The third proportional to 40,986 and 88,938 is: 192,991.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,986 : 88,938 = 88,938 : x
  2. Step 2: Convert to fraction form
    40,986/88,938 = 88,938/x
  3. Step 3: Cross multiply
    40,986x = 88,938 × 88,938
  4. Step 4: Simplify right side
    40,986x = 7,909,967,844
  5. Step 5: Solve for x
    x = 7,909,967,844/40,986
  6. Step 6: Final answer
    x = 192,991.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.