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Finding the Third Proportional to 95,154.75 and 209,138.25

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Solution

The third proportional to 95,154.75 and 209,138.25 is: 459,659.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,154.75 : 209,138.25 = 209,138.25 : x
  2. Step 2: Convert to fraction form
    95,154.75/209,138.25 = 209,138.25/x
  3. Step 3: Cross multiply
    95,154.75x = 209,138.25 × 209,138.25
  4. Step 4: Simplify right side
    95,154.75x = 43,738,807,613.06
  5. Step 5: Solve for x
    x = 43,738,807,613.06/95,154.75
  6. Step 6: Final answer
    x = 459,659.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.