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Finding the Third Proportional to 92,004.19 and 187,390.97

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Solution

The third proportional to 92,004.19 and 187,390.97 is: 381,671.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,004.19 : 187,390.97 = 187,390.97 : x
  2. Step 2: Convert to fraction form
    92,004.19/187,390.97 = 187,390.97/x
  3. Step 3: Cross multiply
    92,004.19x = 187,390.97 × 187,390.97
  4. Step 4: Simplify right side
    92,004.19x = 35,115,375,169.06
  5. Step 5: Solve for x
    x = 35,115,375,169.06/92,004.19
  6. Step 6: Final answer
    x = 381,671.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.