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Finding the Third Proportional to 87,758.44 and 189,500.63

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Solution

The third proportional to 87,758.44 and 189,500.63 is: 409,196.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,758.44 : 189,500.63 = 189,500.63 : x
  2. Step 2: Convert to fraction form
    87,758.44/189,500.63 = 189,500.63/x
  3. Step 3: Cross multiply
    87,758.44x = 189,500.63 × 189,500.63
  4. Step 4: Simplify right side
    87,758.44x = 35,910,486,875.39
  5. Step 5: Solve for x
    x = 35,910,486,875.39/87,758.44
  6. Step 6: Final answer
    x = 409,196.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.