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Finding the Third Proportional to 44,894 and 94,439

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Solution

The third proportional to 44,894 and 94,439 is: 198,661.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,894 : 94,439 = 94,439 : x
  2. Step 2: Convert to fraction form
    44,894/94,439 = 94,439/x
  3. Step 3: Cross multiply
    44,894x = 94,439 × 94,439
  4. Step 4: Simplify right side
    44,894x = 8,918,724,721
  5. Step 5: Solve for x
    x = 8,918,724,721/44,894
  6. Step 6: Final answer
    x = 198,661.84

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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.