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Finding the Third Proportional to 99,522 and 208,269

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Solution

The third proportional to 99,522 and 208,269 is: 435,843.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,522 : 208,269 = 208,269 : x
  2. Step 2: Convert to fraction form
    99,522/208,269 = 208,269/x
  3. Step 3: Cross multiply
    99,522x = 208,269 × 208,269
  4. Step 4: Simplify right side
    99,522x = 43,375,976,361
  5. Step 5: Solve for x
    x = 43,375,976,361/99,522
  6. Step 6: Final answer
    x = 435,843.09

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.