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Finding the Third Proportional to 101,822 and 218,236

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Solution

The third proportional to 101,822 and 218,236 is: 467,747.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,822 : 218,236 = 218,236 : x
  2. Step 2: Convert to fraction form
    101,822/218,236 = 218,236/x
  3. Step 3: Cross multiply
    101,822x = 218,236 × 218,236
  4. Step 4: Simplify right side
    101,822x = 47,626,951,696
  5. Step 5: Solve for x
    x = 47,626,951,696/101,822
  6. Step 6: Final answer
    x = 467,747.16

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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.