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Finding the Third Proportional to 98,198 and 215,512

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Solution

The third proportional to 98,198 and 215,512 is: 472,977.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,198 : 215,512 = 215,512 : x
  2. Step 2: Convert to fraction form
    98,198/215,512 = 215,512/x
  3. Step 3: Cross multiply
    98,198x = 215,512 × 215,512
  4. Step 4: Simplify right side
    98,198x = 46,445,422,144
  5. Step 5: Solve for x
    x = 46,445,422,144/98,198
  6. Step 6: Final answer
    x = 472,977.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.