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Finding the Third Proportional to 95,409.75 and 198,666.75

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Solution

The third proportional to 95,409.75 and 198,666.75 is: 413,673.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,409.75 : 198,666.75 = 198,666.75 : x
  2. Step 2: Convert to fraction form
    95,409.75/198,666.75 = 198,666.75/x
  3. Step 3: Cross multiply
    95,409.75x = 198,666.75 × 198,666.75
  4. Step 4: Simplify right side
    95,409.75x = 39,468,477,555.56
  5. Step 5: Solve for x
    x = 39,468,477,555.56/95,409.75
  6. Step 6: Final answer
    x = 413,673.42

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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.