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Finding the Third Proportional to 49,916 and 109,044

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Solution

The third proportional to 49,916 and 109,044 is: 238,212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,916 : 109,044 = 109,044 : x
  2. Step 2: Convert to fraction form
    49,916/109,044 = 109,044/x
  3. Step 3: Cross multiply
    49,916x = 109,044 × 109,044
  4. Step 4: Simplify right side
    49,916x = 11,890,593,936
  5. Step 5: Solve for x
    x = 11,890,593,936/49,916
  6. Step 6: Final answer
    x = 238,212.08

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.