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Finding the Third Proportional to 97,420 and 213,092

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Solution

The third proportional to 97,420 and 213,092 is: 466,107.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,420 : 213,092 = 213,092 : x
  2. Step 2: Convert to fraction form
    97,420/213,092 = 213,092/x
  3. Step 3: Cross multiply
    97,420x = 213,092 × 213,092
  4. Step 4: Simplify right side
    97,420x = 45,408,200,464
  5. Step 5: Solve for x
    x = 45,408,200,464/97,420
  6. Step 6: Final answer
    x = 466,107.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.