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Finding the Third Proportional to 49,318 and 108,458

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Solution

The third proportional to 49,318 and 108,458 is: 238,516.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,318 : 108,458 = 108,458 : x
  2. Step 2: Convert to fraction form
    49,318/108,458 = 108,458/x
  3. Step 3: Cross multiply
    49,318x = 108,458 × 108,458
  4. Step 4: Simplify right side
    49,318x = 11,763,137,764
  5. Step 5: Solve for x
    x = 11,763,137,764/49,318
  6. Step 6: Final answer
    x = 238,516.12

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.