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Finding the Third Proportional to 49,884 and 108,495.75

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Solution

The third proportional to 49,884 and 108,495.75 is: 235,974.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,884 : 108,495.75 = 108,495.75 : x
  2. Step 2: Convert to fraction form
    49,884/108,495.75 = 108,495.75/x
  3. Step 3: Cross multiply
    49,884x = 108,495.75 × 108,495.75
  4. Step 4: Simplify right side
    49,884x = 11,771,327,768.06
  5. Step 5: Solve for x
    x = 11,771,327,768.06/49,884
  6. Step 6: Final answer
    x = 235,974.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.