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Finding the Third Proportional to 49,919.06 and 108,584.25

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Solution

The third proportional to 49,919.06 and 108,584.25 is: 236,193.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,919.06 : 108,584.25 = 108,584.25 : x
  2. Step 2: Convert to fraction form
    49,919.06/108,584.25 = 108,584.25/x
  3. Step 3: Cross multiply
    49,919.06x = 108,584.25 × 108,584.25
  4. Step 4: Simplify right side
    49,919.06x = 11,790,539,348.06
  5. Step 5: Solve for x
    x = 11,790,539,348.06/49,919.06
  6. Step 6: Final answer
    x = 236,193.12

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Why These Related Problems?

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