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Finding the Third Proportional to 100,162.50 and 204,035.25

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Solution

The third proportional to 100,162.50 and 204,035.25 is: 415,628.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,162.50 : 204,035.25 = 204,035.25 : x
  2. Step 2: Convert to fraction form
    100,162.50/204,035.25 = 204,035.25/x
  3. Step 3: Cross multiply
    100,162.50x = 204,035.25 × 204,035.25
  4. Step 4: Simplify right side
    100,162.50x = 41,630,383,242.56
  5. Step 5: Solve for x
    x = 41,630,383,242.56/100,162.50
  6. Step 6: Final answer
    x = 415,628.44

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.