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Finding the Third Proportional to 42,731.44 and 92,033.44

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Solution

The third proportional to 42,731.44 and 92,033.44 is: 198,218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,731.44 : 92,033.44 = 92,033.44 : x
  2. Step 2: Convert to fraction form
    42,731.44/92,033.44 = 92,033.44/x
  3. Step 3: Cross multiply
    42,731.44x = 92,033.44 × 92,033.44
  4. Step 4: Simplify right side
    42,731.44x = 8,470,153,618.07
  5. Step 5: Solve for x
    x = 8,470,153,618.07/42,731.44
  6. Step 6: Final answer
    x = 198,218.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.