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Finding the Third Proportional to 49,630.50 and 108,009

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Solution

The third proportional to 49,630.50 and 108,009 is: 235,055.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,630.50 : 108,009 = 108,009 : x
  2. Step 2: Convert to fraction form
    49,630.50/108,009 = 108,009/x
  3. Step 3: Cross multiply
    49,630.50x = 108,009 × 108,009
  4. Step 4: Simplify right side
    49,630.50x = 11,665,944,081
  5. Step 5: Solve for x
    x = 11,665,944,081/49,630.50
  6. Step 6: Final answer
    x = 235,055.95

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.