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Finding the Third Proportional to 101,810 and 218,212

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Solution

The third proportional to 101,810 and 218,212 is: 467,699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,810 : 218,212 = 218,212 : x
  2. Step 2: Convert to fraction form
    101,810/218,212 = 218,212/x
  3. Step 3: Cross multiply
    101,810x = 218,212 × 218,212
  4. Step 4: Simplify right side
    101,810x = 47,616,476,944
  5. Step 5: Solve for x
    x = 47,616,476,944/101,810
  6. Step 6: Final answer
    x = 467,699.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.