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Finding the Third Proportional to 50,996 and 109,804

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Solution

The third proportional to 50,996 and 109,804 is: 236,428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,996 : 109,804 = 109,804 : x
  2. Step 2: Convert to fraction form
    50,996/109,804 = 109,804/x
  3. Step 3: Cross multiply
    50,996x = 109,804 × 109,804
  4. Step 4: Simplify right side
    50,996x = 12,056,918,416
  5. Step 5: Solve for x
    x = 12,056,918,416/50,996
  6. Step 6: Final answer
    x = 236,428.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.