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Finding the Third Proportional to 49,540.50 and 108,922.50

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Solution

The third proportional to 49,540.50 and 108,922.50 is: 239,483.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,540.50 : 108,922.50 = 108,922.50 : x
  2. Step 2: Convert to fraction form
    49,540.50/108,922.50 = 108,922.50/x
  3. Step 3: Cross multiply
    49,540.50x = 108,922.50 × 108,922.50
  4. Step 4: Simplify right side
    49,540.50x = 11,864,111,006.25
  5. Step 5: Solve for x
    x = 11,864,111,006.25/49,540.50
  6. Step 6: Final answer
    x = 239,483.07

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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.