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Finding the Third Proportional to 50,244 and 109,905

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Solution

The third proportional to 50,244 and 109,905 is: 240,408.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,244 : 109,905 = 109,905 : x
  2. Step 2: Convert to fraction form
    50,244/109,905 = 109,905/x
  3. Step 3: Cross multiply
    50,244x = 109,905 × 109,905
  4. Step 4: Simplify right side
    50,244x = 12,079,109,025
  5. Step 5: Solve for x
    x = 12,079,109,025/50,244
  6. Step 6: Final answer
    x = 240,408.98

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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.