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Finding the Third Proportional to 87,008.06 and 189,995.63

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Solution

The third proportional to 87,008.06 and 189,995.63 is: 414,884.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,008.06 : 189,995.63 = 189,995.63 : x
  2. Step 2: Convert to fraction form
    87,008.06/189,995.63 = 189,995.63/x
  3. Step 3: Cross multiply
    87,008.06x = 189,995.63 × 189,995.63
  4. Step 4: Simplify right side
    87,008.06x = 36,098,337,519.14
  5. Step 5: Solve for x
    x = 36,098,337,519.14/87,008.06
  6. Step 6: Final answer
    x = 414,884.97

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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.