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Finding the Third Proportional to 96,212 and 209,272

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Solution

The third proportional to 96,212 and 209,272 is: 455,190.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,212 : 209,272 = 209,272 : x
  2. Step 2: Convert to fraction form
    96,212/209,272 = 209,272/x
  3. Step 3: Cross multiply
    96,212x = 209,272 × 209,272
  4. Step 4: Simplify right side
    96,212x = 43,794,769,984
  5. Step 5: Solve for x
    x = 43,794,769,984/96,212
  6. Step 6: Final answer
    x = 455,190.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.