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Finding the Third Proportional to 100,168 and 204,046

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Solution

The third proportional to 100,168 and 204,046 is: 415,649.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,168 : 204,046 = 204,046 : x
  2. Step 2: Convert to fraction form
    100,168/204,046 = 204,046/x
  3. Step 3: Cross multiply
    100,168x = 204,046 × 204,046
  4. Step 4: Simplify right side
    100,168x = 41,634,770,116
  5. Step 5: Solve for x
    x = 41,634,770,116/100,168
  6. Step 6: Final answer
    x = 415,649.41

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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.