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Finding the Third Proportional to 49,918 and 109,236

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Solution

The third proportional to 49,918 and 109,236 is: 239,042.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,918 : 109,236 = 109,236 : x
  2. Step 2: Convert to fraction form
    49,918/109,236 = 109,236/x
  3. Step 3: Cross multiply
    49,918x = 109,236 × 109,236
  4. Step 4: Simplify right side
    49,918x = 11,932,503,696
  5. Step 5: Solve for x
    x = 11,932,503,696/49,918
  6. Step 6: Final answer
    x = 239,042.10

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.