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Finding the Third Proportional to 100,024 and 217,219

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Solution

The third proportional to 100,024 and 217,219 is: 471,727.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,024 : 217,219 = 217,219 : x
  2. Step 2: Convert to fraction form
    100,024/217,219 = 217,219/x
  3. Step 3: Cross multiply
    100,024x = 217,219 × 217,219
  4. Step 4: Simplify right side
    100,024x = 47,184,093,961
  5. Step 5: Solve for x
    x = 47,184,093,961/100,024
  6. Step 6: Final answer
    x = 471,727.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.