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Finding the Third Proportional to 44,867 and 94,384

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Solution

The third proportional to 44,867 and 94,384 is: 198,549.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,867 : 94,384 = 94,384 : x
  2. Step 2: Convert to fraction form
    44,867/94,384 = 94,384/x
  3. Step 3: Cross multiply
    44,867x = 94,384 × 94,384
  4. Step 4: Simplify right side
    44,867x = 8,908,339,456
  5. Step 5: Solve for x
    x = 8,908,339,456/44,867
  6. Step 6: Final answer
    x = 198,549.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.