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Finding the Third Proportional to 99,519 and 208,257

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Solution

The third proportional to 99,519 and 208,257 is: 435,806.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,519 : 208,257 = 208,257 : x
  2. Step 2: Convert to fraction form
    99,519/208,257 = 208,257/x
  3. Step 3: Cross multiply
    99,519x = 208,257 × 208,257
  4. Step 4: Simplify right side
    99,519x = 43,370,978,049
  5. Step 5: Solve for x
    x = 43,370,978,049/99,519
  6. Step 6: Final answer
    x = 435,806.01

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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.