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Finding the Third Proportional to 101,178 and 218,565

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Solution

The third proportional to 101,178 and 218,565 is: 472,144.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,178 : 218,565 = 218,565 : x
  2. Step 2: Convert to fraction form
    101,178/218,565 = 218,565/x
  3. Step 3: Cross multiply
    101,178x = 218,565 × 218,565
  4. Step 4: Simplify right side
    101,178x = 47,770,659,225
  5. Step 5: Solve for x
    x = 47,770,659,225/101,178
  6. Step 6: Final answer
    x = 472,144.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.