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Finding the Third Proportional to 44,718.75 and 94,768.31

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Solution

The third proportional to 44,718.75 and 94,768.31 is: 200,833.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,718.75 : 94,768.31 = 94,768.31 : x
  2. Step 2: Convert to fraction form
    44,718.75/94,768.31 = 94,768.31/x
  3. Step 3: Cross multiply
    44,718.75x = 94,768.31 × 94,768.31
  4. Step 4: Simplify right side
    44,718.75x = 8,981,033,054.10
  5. Step 5: Solve for x
    x = 8,981,033,054.10/44,718.75
  6. Step 6: Final answer
    x = 200,833.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.