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Finding the Third Proportional to 87,419.25 and 190,405.69

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Solution

The third proportional to 87,419.25 and 190,405.69 is: 414,717.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,419.25 : 190,405.69 = 190,405.69 : x
  2. Step 2: Convert to fraction form
    87,419.25/190,405.69 = 190,405.69/x
  3. Step 3: Cross multiply
    87,419.25x = 190,405.69 × 190,405.69
  4. Step 4: Simplify right side
    87,419.25x = 36,254,325,832.35
  5. Step 5: Solve for x
    x = 36,254,325,832.35/87,419.25
  6. Step 6: Final answer
    x = 414,717.88

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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.