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Finding the Third Proportional to 109,899 and 197,927

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Solution

The third proportional to 109,899 and 197,927 is: 356,464.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,899 : 197,927 = 197,927 : x
  2. Step 2: Convert to fraction form
    109,899/197,927 = 197,927/x
  3. Step 3: Cross multiply
    109,899x = 197,927 × 197,927
  4. Step 4: Simplify right side
    109,899x = 39,175,097,329
  5. Step 5: Solve for x
    x = 39,175,097,329/109,899
  6. Step 6: Final answer
    x = 356,464.55

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.