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Finding the Third Proportional to 43,017.75 and 92,265.19

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Solution

The third proportional to 43,017.75 and 92,265.19 is: 197,891.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,017.75 : 92,265.19 = 92,265.19 : x
  2. Step 2: Convert to fraction form
    43,017.75/92,265.19 = 92,265.19/x
  3. Step 3: Cross multiply
    43,017.75x = 92,265.19 × 92,265.19
  4. Step 4: Simplify right side
    43,017.75x = 8,512,864,824.41
  5. Step 5: Solve for x
    x = 8,512,864,824.41/43,017.75
  6. Step 6: Final answer
    x = 197,891.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.