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Finding the Third Proportional to 44,138.53 and 96,529.78

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Solution

The third proportional to 44,138.53 and 96,529.78 is: 211,108.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,138.53 : 96,529.78 = 96,529.78 : x
  2. Step 2: Convert to fraction form
    44,138.53/96,529.78 = 96,529.78/x
  3. Step 3: Cross multiply
    44,138.53x = 96,529.78 × 96,529.78
  4. Step 4: Simplify right side
    44,138.53x = 9,317,998,668.17
  5. Step 5: Solve for x
    x = 9,317,998,668.17/44,138.53
  6. Step 6: Final answer
    x = 211,108.04

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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.