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Finding the Third Proportional to 97,111 and 211,874

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Solution

The third proportional to 97,111 and 211,874 is: 462,260.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,111 : 211,874 = 211,874 : x
  2. Step 2: Convert to fraction form
    97,111/211,874 = 211,874/x
  3. Step 3: Cross multiply
    97,111x = 211,874 × 211,874
  4. Step 4: Simplify right side
    97,111x = 44,890,591,876
  5. Step 5: Solve for x
    x = 44,890,591,876/97,111
  6. Step 6: Final answer
    x = 462,260.63

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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.