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Finding the Third Proportional to 87,663.94 and 190,272.38

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Solution

The third proportional to 87,663.94 and 190,272.38 is: 412,981.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,663.94 : 190,272.38 = 190,272.38 : x
  2. Step 2: Convert to fraction form
    87,663.94/190,272.38 = 190,272.38/x
  3. Step 3: Cross multiply
    87,663.94x = 190,272.38 × 190,272.38
  4. Step 4: Simplify right side
    87,663.94x = 36,203,576,688.14
  5. Step 5: Solve for x
    x = 36,203,576,688.14/87,663.94
  6. Step 6: Final answer
    x = 412,981.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.