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Finding the Third Proportional to 100,794 and 211,306

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Solution

The third proportional to 100,794 and 211,306 is: 442,984.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,794 : 211,306 = 211,306 : x
  2. Step 2: Convert to fraction form
    100,794/211,306 = 211,306/x
  3. Step 3: Cross multiply
    100,794x = 211,306 × 211,306
  4. Step 4: Simplify right side
    100,794x = 44,650,225,636
  5. Step 5: Solve for x
    x = 44,650,225,636/100,794
  6. Step 6: Final answer
    x = 442,984.96

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.