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Finding the Third Proportional to 100,734 and 211,836

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Solution

The third proportional to 100,734 and 211,836 is: 445,475.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,734 : 211,836 = 211,836 : x
  2. Step 2: Convert to fraction form
    100,734/211,836 = 211,836/x
  3. Step 3: Cross multiply
    100,734x = 211,836 × 211,836
  4. Step 4: Simplify right side
    100,734x = 44,874,490,896
  5. Step 5: Solve for x
    x = 44,874,490,896/100,734
  6. Step 6: Final answer
    x = 445,475.12

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Why These Related Problems?

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