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Finding the Third Proportional to 97,891 and 211,333

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Solution

The third proportional to 97,891 and 211,333 is: 456,238.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,891 : 211,333 = 211,333 : x
  2. Step 2: Convert to fraction form
    97,891/211,333 = 211,333/x
  3. Step 3: Cross multiply
    97,891x = 211,333 × 211,333
  4. Step 4: Simplify right side
    97,891x = 44,661,636,889
  5. Step 5: Solve for x
    x = 44,661,636,889/97,891
  6. Step 6: Final answer
    x = 456,238.44

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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.