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Finding the Third Proportional to 97,668 and 210,266

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Solution

The third proportional to 97,668 and 210,266 is: 452,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,668 : 210,266 = 210,266 : x
  2. Step 2: Convert to fraction form
    97,668/210,266 = 210,266/x
  3. Step 3: Cross multiply
    97,668x = 210,266 × 210,266
  4. Step 4: Simplify right side
    97,668x = 44,211,790,756
  5. Step 5: Solve for x
    x = 44,211,790,756/97,668
  6. Step 6: Final answer
    x = 452,674.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.