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Finding the Third Proportional to 44,890 and 94,424

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Solution

The third proportional to 44,890 and 94,424 is: 198,616.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,890 : 94,424 = 94,424 : x
  2. Step 2: Convert to fraction form
    44,890/94,424 = 94,424/x
  3. Step 3: Cross multiply
    44,890x = 94,424 × 94,424
  4. Step 4: Simplify right side
    44,890x = 8,915,891,776
  5. Step 5: Solve for x
    x = 8,915,891,776/44,890
  6. Step 6: Final answer
    x = 198,616.44

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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.