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Finding the Third Proportional to 100,732 and 211,832

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Solution

The third proportional to 100,732 and 211,832 is: 445,467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,732 : 211,832 = 211,832 : x
  2. Step 2: Convert to fraction form
    100,732/211,832 = 211,832/x
  3. Step 3: Cross multiply
    100,732x = 211,832 × 211,832
  4. Step 4: Simplify right side
    100,732x = 44,872,796,224
  5. Step 5: Solve for x
    x = 44,872,796,224/100,732
  6. Step 6: Final answer
    x = 445,467.14

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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.