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Finding the Third Proportional to 95,322 and 198,539

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Solution

The third proportional to 95,322 and 198,539 is: 413,521.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,322 : 198,539 = 198,539 : x
  2. Step 2: Convert to fraction form
    95,322/198,539 = 198,539/x
  3. Step 3: Cross multiply
    95,322x = 198,539 × 198,539
  4. Step 4: Simplify right side
    95,322x = 39,417,734,521
  5. Step 5: Solve for x
    x = 39,417,734,521/95,322
  6. Step 6: Final answer
    x = 413,521.90

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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.