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Finding the Third Proportional to 44,892 and 94,434.75

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Solution

The third proportional to 44,892 and 94,434.75 is: 198,652.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,892 : 94,434.75 = 94,434.75 : x
  2. Step 2: Convert to fraction form
    44,892/94,434.75 = 94,434.75/x
  3. Step 3: Cross multiply
    44,892x = 94,434.75 × 94,434.75
  4. Step 4: Simplify right side
    44,892x = 8,917,922,007.56
  5. Step 5: Solve for x
    x = 8,917,922,007.56/44,892
  6. Step 6: Final answer
    x = 198,652.81

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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.