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Finding the Third Proportional to 100,257.75 and 208,808.44

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Solution

The third proportional to 100,257.75 and 208,808.44 is: 434,888.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,257.75 : 208,808.44 = 208,808.44 : x
  2. Step 2: Convert to fraction form
    100,257.75/208,808.44 = 208,808.44/x
  3. Step 3: Cross multiply
    100,257.75x = 208,808.44 × 208,808.44
  4. Step 4: Simplify right side
    100,257.75x = 43,600,963,571.19
  5. Step 5: Solve for x
    x = 43,600,963,571.19/100,257.75
  6. Step 6: Final answer
    x = 434,888.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.