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Finding the Third Proportional to 95,514.19 and 198,860.06

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Solution

The third proportional to 95,514.19 and 198,860.06 is: 414,025.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,514.19 : 198,860.06 = 198,860.06 : x
  2. Step 2: Convert to fraction form
    95,514.19/198,860.06 = 198,860.06/x
  3. Step 3: Cross multiply
    95,514.19x = 198,860.06 × 198,860.06
  4. Step 4: Simplify right side
    95,514.19x = 39,545,324,457.50
  5. Step 5: Solve for x
    x = 39,545,324,457.50/95,514.19
  6. Step 6: Final answer
    x = 414,025.66

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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.