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Finding the Third Proportional to 96,890 and 216,456

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Solution

The third proportional to 96,890 and 216,456 is: 483,571.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,890 : 216,456 = 216,456 : x
  2. Step 2: Convert to fraction form
    96,890/216,456 = 216,456/x
  3. Step 3: Cross multiply
    96,890x = 216,456 × 216,456
  4. Step 4: Simplify right side
    96,890x = 46,853,199,936
  5. Step 5: Solve for x
    x = 46,853,199,936/96,890
  6. Step 6: Final answer
    x = 483,571.06

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.