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Finding the Third Proportional to 99,636 and 211,422

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Solution

The third proportional to 99,636 and 211,422 is: 448,625.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,636 : 211,422 = 211,422 : x
  2. Step 2: Convert to fraction form
    99,636/211,422 = 211,422/x
  3. Step 3: Cross multiply
    99,636x = 211,422 × 211,422
  4. Step 4: Simplify right side
    99,636x = 44,699,262,084
  5. Step 5: Solve for x
    x = 44,699,262,084/99,636
  6. Step 6: Final answer
    x = 448,625.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.