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Finding the Third Proportional to 98,967 and 213,244

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Solution

The third proportional to 98,967 and 213,244 is: 459,476.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,967 : 213,244 = 213,244 : x
  2. Step 2: Convert to fraction form
    98,967/213,244 = 213,244/x
  3. Step 3: Cross multiply
    98,967x = 213,244 × 213,244
  4. Step 4: Simplify right side
    98,967x = 45,473,003,536
  5. Step 5: Solve for x
    x = 45,473,003,536/98,967
  6. Step 6: Final answer
    x = 459,476.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.