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Finding the Third Proportional to 95,574.94 and 198,986.63

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Solution

The third proportional to 95,574.94 and 198,986.63 is: 414,289.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,574.94 : 198,986.63 = 198,986.63 : x
  2. Step 2: Convert to fraction form
    95,574.94/198,986.63 = 198,986.63/x
  3. Step 3: Cross multiply
    95,574.94x = 198,986.63 × 198,986.63
  4. Step 4: Simplify right side
    95,574.94x = 39,595,676,928.89
  5. Step 5: Solve for x
    x = 39,595,676,928.89/95,574.94
  6. Step 6: Final answer
    x = 414,289.33

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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.