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Finding the Third Proportional to 42,531.13 and 92,844.38

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Solution

The third proportional to 42,531.13 and 92,844.38 is: 202,676.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,531.13 : 92,844.38 = 92,844.38 : x
  2. Step 2: Convert to fraction form
    42,531.13/92,844.38 = 92,844.38/x
  3. Step 3: Cross multiply
    42,531.13x = 92,844.38 × 92,844.38
  4. Step 4: Simplify right side
    42,531.13x = 8,620,077,969.14
  5. Step 5: Solve for x
    x = 8,620,077,969.14/42,531.13
  6. Step 6: Final answer
    x = 202,676.93

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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.