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Finding the Third Proportional to 100,037 and 211,333

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Solution

The third proportional to 100,037 and 211,333 is: 446,451.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,037 : 211,333 = 211,333 : x
  2. Step 2: Convert to fraction form
    100,037/211,333 = 211,333/x
  3. Step 3: Cross multiply
    100,037x = 211,333 × 211,333
  4. Step 4: Simplify right side
    100,037x = 44,661,636,889
  5. Step 5: Solve for x
    x = 44,661,636,889/100,037
  6. Step 6: Final answer
    x = 446,451.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.