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Finding the Third Proportional to 97,818 and 213,288

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Solution

The third proportional to 97,818 and 213,288 is: 465,065.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,818 : 213,288 = 213,288 : x
  2. Step 2: Convert to fraction form
    97,818/213,288 = 213,288/x
  3. Step 3: Cross multiply
    97,818x = 213,288 × 213,288
  4. Step 4: Simplify right side
    97,818x = 45,491,770,944
  5. Step 5: Solve for x
    x = 45,491,770,944/97,818
  6. Step 6: Final answer
    x = 465,065.44

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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.