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Finding the Third Proportional to 98,786 and 213,367

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Solution

The third proportional to 98,786 and 213,367 is: 460,849.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,786 : 213,367 = 213,367 : x
  2. Step 2: Convert to fraction form
    98,786/213,367 = 213,367/x
  3. Step 3: Cross multiply
    98,786x = 213,367 × 213,367
  4. Step 4: Simplify right side
    98,786x = 45,525,476,689
  5. Step 5: Solve for x
    x = 45,525,476,689/98,786
  6. Step 6: Final answer
    x = 460,849.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.