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Finding the Third Proportional to 98,744 and 216,794

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Solution

The third proportional to 98,744 and 216,794 is: 475,974.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,744 : 216,794 = 216,794 : x
  2. Step 2: Convert to fraction form
    98,744/216,794 = 216,794/x
  3. Step 3: Cross multiply
    98,744x = 216,794 × 216,794
  4. Step 4: Simplify right side
    98,744x = 46,999,638,436
  5. Step 5: Solve for x
    x = 46,999,638,436/98,744
  6. Step 6: Final answer
    x = 475,974.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.