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Finding the Third Proportional to 110,342.25 and 155,383.31

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Solution

The third proportional to 110,342.25 and 155,383.31 is: 218,809.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,342.25 : 155,383.31 = 155,383.31 : x
  2. Step 2: Convert to fraction form
    110,342.25/155,383.31 = 155,383.31/x
  3. Step 3: Cross multiply
    110,342.25x = 155,383.31 × 155,383.31
  4. Step 4: Simplify right side
    110,342.25x = 24,143,973,803.47
  5. Step 5: Solve for x
    x = 24,143,973,803.47/110,342.25
  6. Step 6: Final answer
    x = 218,809.87

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.