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Finding the Third Proportional to 97,794 and 213,108

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Solution

The third proportional to 97,794 and 213,108 is: 464,394.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,794 : 213,108 = 213,108 : x
  2. Step 2: Convert to fraction form
    97,794/213,108 = 213,108/x
  3. Step 3: Cross multiply
    97,794x = 213,108 × 213,108
  4. Step 4: Simplify right side
    97,794x = 45,415,019,664
  5. Step 5: Solve for x
    x = 45,415,019,664/97,794
  6. Step 6: Final answer
    x = 464,394.74

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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.