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Finding the Third Proportional to 195,987.94 and 415,525.88

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Solution

The third proportional to 195,987.94 and 415,525.88 is: 880,981.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,987.94 : 415,525.88 = 415,525.88 : x
  2. Step 2: Convert to fraction form
    195,987.94/415,525.88 = 415,525.88/x
  3. Step 3: Cross multiply
    195,987.94x = 415,525.88 × 415,525.88
  4. Step 4: Simplify right side
    195,987.94x = 172,661,752,794.52
  5. Step 5: Solve for x
    x = 172,661,752,794.52/195,987.94
  6. Step 6: Final answer
    x = 880,981.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.