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Finding the Third Proportional to 40,888 and 88,227

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Solution

The third proportional to 40,888 and 88,227 is: 190,373.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,888 : 88,227 = 88,227 : x
  2. Step 2: Convert to fraction form
    40,888/88,227 = 88,227/x
  3. Step 3: Cross multiply
    40,888x = 88,227 × 88,227
  4. Step 4: Simplify right side
    40,888x = 7,784,003,529
  5. Step 5: Solve for x
    x = 7,784,003,529/40,888
  6. Step 6: Final answer
    x = 190,373.79

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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.