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Finding the Third Proportional to 84,218 and 181,936

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Solution

The third proportional to 84,218 and 181,936 is: 393,036.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,218 : 181,936 = 181,936 : x
  2. Step 2: Convert to fraction form
    84,218/181,936 = 181,936/x
  3. Step 3: Cross multiply
    84,218x = 181,936 × 181,936
  4. Step 4: Simplify right side
    84,218x = 33,100,708,096
  5. Step 5: Solve for x
    x = 33,100,708,096/84,218
  6. Step 6: Final answer
    x = 393,036.03

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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.