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Finding the Third Proportional to 42,306.21 and 92,201.41

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Solution

The third proportional to 42,306.21 and 92,201.41 is: 200,942.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,306.21 : 92,201.41 = 92,201.41 : x
  2. Step 2: Convert to fraction form
    42,306.21/92,201.41 = 92,201.41/x
  3. Step 3: Cross multiply
    42,306.21x = 92,201.41 × 92,201.41
  4. Step 4: Simplify right side
    42,306.21x = 8,501,100,755.12
  5. Step 5: Solve for x
    x = 8,501,100,755.12/42,306.21
  6. Step 6: Final answer
    x = 200,942.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.