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Finding the Third Proportional to 95,138.30 and 209,109.09

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Solution

The third proportional to 95,138.30 and 209,109.09 is: 459,611.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,138.30 : 209,109.09 = 209,109.09 : x
  2. Step 2: Convert to fraction form
    95,138.30/209,109.09 = 209,109.09/x
  3. Step 3: Cross multiply
    95,138.30x = 209,109.09 × 209,109.09
  4. Step 4: Simplify right side
    95,138.30x = 43,726,613,088.95
  5. Step 5: Solve for x
    x = 43,726,613,088.95/95,138.30
  6. Step 6: Final answer
    x = 459,611.06

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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.