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Finding the Third Proportional to 100,299 and 217,878

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Solution

The third proportional to 100,299 and 217,878 is: 473,293.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,299 : 217,878 = 217,878 : x
  2. Step 2: Convert to fraction form
    100,299/217,878 = 217,878/x
  3. Step 3: Cross multiply
    100,299x = 217,878 × 217,878
  4. Step 4: Simplify right side
    100,299x = 47,470,822,884
  5. Step 5: Solve for x
    x = 47,470,822,884/100,299
  6. Step 6: Final answer
    x = 473,293.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.