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Finding the Third Proportional to 87,636.94 and 195,564.38

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Solution

The third proportional to 87,636.94 and 195,564.38 is: 436,407.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,636.94 : 195,564.38 = 195,564.38 : x
  2. Step 2: Convert to fraction form
    87,636.94/195,564.38 = 195,564.38/x
  3. Step 3: Cross multiply
    87,636.94x = 195,564.38 × 195,564.38
  4. Step 4: Simplify right side
    87,636.94x = 38,245,424,769.14
  5. Step 5: Solve for x
    x = 38,245,424,769.14/87,636.94
  6. Step 6: Final answer
    x = 436,407.59

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.