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Finding the Third Proportional to 96,162 and 209,820

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Solution

The third proportional to 96,162 and 209,820 is: 457,815.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,162 : 209,820 = 209,820 : x
  2. Step 2: Convert to fraction form
    96,162/209,820 = 209,820/x
  3. Step 3: Cross multiply
    96,162x = 209,820 × 209,820
  4. Step 4: Simplify right side
    96,162x = 44,024,432,400
  5. Step 5: Solve for x
    x = 44,024,432,400/96,162
  6. Step 6: Final answer
    x = 457,815.27

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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.