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Finding the Third Proportional to 44,110 and 96,150

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Solution

The third proportional to 44,110 and 96,150 is: 209,585.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,110 : 96,150 = 96,150 : x
  2. Step 2: Convert to fraction form
    44,110/96,150 = 96,150/x
  3. Step 3: Cross multiply
    44,110x = 96,150 × 96,150
  4. Step 4: Simplify right side
    44,110x = 9,244,822,500
  5. Step 5: Solve for x
    x = 9,244,822,500/44,110
  6. Step 6: Final answer
    x = 209,585.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.