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Finding the Third Proportional to 101,820 and 218,232

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Solution

The third proportional to 101,820 and 218,232 is: 467,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,820 : 218,232 = 218,232 : x
  2. Step 2: Convert to fraction form
    101,820/218,232 = 218,232/x
  3. Step 3: Cross multiply
    101,820x = 218,232 × 218,232
  4. Step 4: Simplify right side
    101,820x = 47,625,205,824
  5. Step 5: Solve for x
    x = 47,625,205,824/101,820
  6. Step 6: Final answer
    x = 467,739.20

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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.