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Finding the Third Proportional to 195,728.91 and 412,462.13

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Solution

The third proportional to 195,728.91 and 412,462.13 is: 869,186.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,728.91 : 412,462.13 = 412,462.13 : x
  2. Step 2: Convert to fraction form
    195,728.91/412,462.13 = 412,462.13/x
  3. Step 3: Cross multiply
    195,728.91x = 412,462.13 × 412,462.13
  4. Step 4: Simplify right side
    195,728.91x = 170,125,004,559.52
  5. Step 5: Solve for x
    x = 170,125,004,559.52/195,728.91
  6. Step 6: Final answer
    x = 869,186.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.