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Finding the Third Proportional to 49,454 and 109,996

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Solution

The third proportional to 49,454 and 109,996 is: 244,654.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,454 : 109,996 = 109,996 : x
  2. Step 2: Convert to fraction form
    49,454/109,996 = 109,996/x
  3. Step 3: Cross multiply
    49,454x = 109,996 × 109,996
  4. Step 4: Simplify right side
    49,454x = 12,099,120,016
  5. Step 5: Solve for x
    x = 12,099,120,016/49,454
  6. Step 6: Final answer
    x = 244,654.02

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.