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Finding the Third Proportional to 100,867 and 217,294.50

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Solution

The third proportional to 100,867 and 217,294.50 is: 468,110.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,867 : 217,294.50 = 217,294.50 : x
  2. Step 2: Convert to fraction form
    100,867/217,294.50 = 217,294.50/x
  3. Step 3: Cross multiply
    100,867x = 217,294.50 × 217,294.50
  4. Step 4: Simplify right side
    100,867x = 47,216,899,730.25
  5. Step 5: Solve for x
    x = 47,216,899,730.25/100,867
  6. Step 6: Final answer
    x = 468,110.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.