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Finding the Third Proportional to 97,928 and 211,404

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Solution

The third proportional to 97,928 and 211,404 is: 456,372.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,928 : 211,404 = 211,404 : x
  2. Step 2: Convert to fraction form
    97,928/211,404 = 211,404/x
  3. Step 3: Cross multiply
    97,928x = 211,404 × 211,404
  4. Step 4: Simplify right side
    97,928x = 44,691,651,216
  5. Step 5: Solve for x
    x = 44,691,651,216/97,928
  6. Step 6: Final answer
    x = 456,372.55

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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.