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Finding the Third Proportional to 95,864 and 205,606

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Solution

The third proportional to 95,864 and 205,606 is: 440,977.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,864 : 205,606 = 205,606 : x
  2. Step 2: Convert to fraction form
    95,864/205,606 = 205,606/x
  3. Step 3: Cross multiply
    95,864x = 205,606 × 205,606
  4. Step 4: Simplify right side
    95,864x = 42,273,827,236
  5. Step 5: Solve for x
    x = 42,273,827,236/95,864
  6. Step 6: Final answer
    x = 440,977.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.