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Finding the Third Proportional to 192,688.88 and 406,149.19

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Solution

The third proportional to 192,688.88 and 406,149.19 is: 856,080.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,688.88 : 406,149.19 = 406,149.19 : x
  2. Step 2: Convert to fraction form
    192,688.88/406,149.19 = 406,149.19/x
  3. Step 3: Cross multiply
    192,688.88x = 406,149.19 × 406,149.19
  4. Step 4: Simplify right side
    192,688.88x = 164,957,162,506.91
  5. Step 5: Solve for x
    x = 164,957,162,506.91/192,688.88
  6. Step 6: Final answer
    x = 856,080.37

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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.