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Finding the Third Proportional to 44,846.75 and 96,132.75

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Solution

The third proportional to 44,846.75 and 96,132.75 is: 206,068.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,846.75 : 96,132.75 = 96,132.75 : x
  2. Step 2: Convert to fraction form
    44,846.75/96,132.75 = 96,132.75/x
  3. Step 3: Cross multiply
    44,846.75x = 96,132.75 × 96,132.75
  4. Step 4: Simplify right side
    44,846.75x = 9,241,505,622.56
  5. Step 5: Solve for x
    x = 9,241,505,622.56/44,846.75
  6. Step 6: Final answer
    x = 206,068.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.