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Finding the Third Proportional to 49,214.25 and 107,449.88

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Solution

The third proportional to 49,214.25 and 107,449.88 is: 234,596.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,214.25 : 107,449.88 = 107,449.88 : x
  2. Step 2: Convert to fraction form
    49,214.25/107,449.88 = 107,449.88/x
  3. Step 3: Cross multiply
    49,214.25x = 107,449.88 × 107,449.88
  4. Step 4: Simplify right side
    49,214.25x = 11,545,475,637.52
  5. Step 5: Solve for x
    x = 11,545,475,637.52/49,214.25
  6. Step 6: Final answer
    x = 234,596.19

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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.