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Finding the Third Proportional to 100,596 and 209,466

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Solution

The third proportional to 100,596 and 209,466 is: 436,160.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,596 : 209,466 = 209,466 : x
  2. Step 2: Convert to fraction form
    100,596/209,466 = 209,466/x
  3. Step 3: Cross multiply
    100,596x = 209,466 × 209,466
  4. Step 4: Simplify right side
    100,596x = 43,876,005,156
  5. Step 5: Solve for x
    x = 43,876,005,156/100,596
  6. Step 6: Final answer
    x = 436,160.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.