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Finding the Third Proportional to 97,212 and 211,992

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Solution

The third proportional to 97,212 and 211,992 is: 462,294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,212 : 211,992 = 211,992 : x
  2. Step 2: Convert to fraction form
    97,212/211,992 = 211,992/x
  3. Step 3: Cross multiply
    97,212x = 211,992 × 211,992
  4. Step 4: Simplify right side
    97,212x = 44,940,608,064
  5. Step 5: Solve for x
    x = 44,940,608,064/97,212
  6. Step 6: Final answer
    x = 462,294.86

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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.