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Finding the Third Proportional to 100,228 and 215,960

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Solution

The third proportional to 100,228 and 215,960 is: 465,326.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,228 : 215,960 = 215,960 : x
  2. Step 2: Convert to fraction form
    100,228/215,960 = 215,960/x
  3. Step 3: Cross multiply
    100,228x = 215,960 × 215,960
  4. Step 4: Simplify right side
    100,228x = 46,638,721,600
  5. Step 5: Solve for x
    x = 46,638,721,600/100,228
  6. Step 6: Final answer
    x = 465,326.27

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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.