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Finding the Third Proportional to 99,782 and 213,400

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Solution

The third proportional to 99,782 and 213,400 is: 456,390.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,782 : 213,400 = 213,400 : x
  2. Step 2: Convert to fraction form
    99,782/213,400 = 213,400/x
  3. Step 3: Cross multiply
    99,782x = 213,400 × 213,400
  4. Step 4: Simplify right side
    99,782x = 45,539,560,000
  5. Step 5: Solve for x
    x = 45,539,560,000/99,782
  6. Step 6: Final answer
    x = 456,390.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.