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Finding the Third Proportional to 95,095.69 and 200,800.97

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Solution

The third proportional to 95,095.69 and 200,800.97 is: 424,004.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,095.69 : 200,800.97 = 200,800.97 : x
  2. Step 2: Convert to fraction form
    95,095.69/200,800.97 = 200,800.97/x
  3. Step 3: Cross multiply
    95,095.69x = 200,800.97 × 200,800.97
  4. Step 4: Simplify right side
    95,095.69x = 40,321,029,050.94
  5. Step 5: Solve for x
    x = 40,321,029,050.94/95,095.69
  6. Step 6: Final answer
    x = 424,004.81

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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.