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Finding the Third Proportional to 44,364 and 96,950

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Solution

The third proportional to 44,364 and 96,950 is: 211,867.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,364 : 96,950 = 96,950 : x
  2. Step 2: Convert to fraction form
    44,364/96,950 = 96,950/x
  3. Step 3: Cross multiply
    44,364x = 96,950 × 96,950
  4. Step 4: Simplify right side
    44,364x = 9,399,302,500
  5. Step 5: Solve for x
    x = 9,399,302,500/44,364
  6. Step 6: Final answer
    x = 211,867.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.