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Finding the Third Proportional to 98,226 and 214,443

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Solution

The third proportional to 98,226 and 214,443 is: 468,163.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,226 : 214,443 = 214,443 : x
  2. Step 2: Convert to fraction form
    98,226/214,443 = 214,443/x
  3. Step 3: Cross multiply
    98,226x = 214,443 × 214,443
  4. Step 4: Simplify right side
    98,226x = 45,985,800,249
  5. Step 5: Solve for x
    x = 45,985,800,249/98,226
  6. Step 6: Final answer
    x = 468,163.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.