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Finding the Third Proportional to 195,218.86 and 395,871.05

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Solution

The third proportional to 195,218.86 and 395,871.05 is: 802,759.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,218.86 : 395,871.05 = 395,871.05 : x
  2. Step 2: Convert to fraction form
    195,218.86/395,871.05 = 395,871.05/x
  3. Step 3: Cross multiply
    195,218.86x = 395,871.05 × 395,871.05
  4. Step 4: Simplify right side
    195,218.86x = 156,713,885,753.91
  5. Step 5: Solve for x
    x = 156,713,885,753.91/195,218.86
  6. Step 6: Final answer
    x = 802,759.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.