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Finding the Third Proportional to 99,566 and 208,352

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Solution

The third proportional to 99,566 and 208,352 is: 435,997.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,566 : 208,352 = 208,352 : x
  2. Step 2: Convert to fraction form
    99,566/208,352 = 208,352/x
  3. Step 3: Cross multiply
    99,566x = 208,352 × 208,352
  4. Step 4: Simplify right side
    99,566x = 43,410,555,904
  5. Step 5: Solve for x
    x = 43,410,555,904/99,566
  6. Step 6: Final answer
    x = 435,997.79

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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.