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Finding the Third Proportional to 100,746 and 211,833

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Solution

The third proportional to 100,746 and 211,833 is: 445,409.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,746 : 211,833 = 211,833 : x
  2. Step 2: Convert to fraction form
    100,746/211,833 = 211,833/x
  3. Step 3: Cross multiply
    100,746x = 211,833 × 211,833
  4. Step 4: Simplify right side
    100,746x = 44,873,219,889
  5. Step 5: Solve for x
    x = 44,873,219,889/100,746
  6. Step 6: Final answer
    x = 445,409.44

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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.