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Finding the Third Proportional to 87,818.38 and 189,460.63

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Solution

The third proportional to 87,818.38 and 189,460.63 is: 408,745.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,818.38 : 189,460.63 = 189,460.63 : x
  2. Step 2: Convert to fraction form
    87,818.38/189,460.63 = 189,460.63/x
  3. Step 3: Cross multiply
    87,818.38x = 189,460.63 × 189,460.63
  4. Step 4: Simplify right side
    87,818.38x = 35,895,328,425.39
  5. Step 5: Solve for x
    x = 35,895,328,425.39/87,818.38
  6. Step 6: Final answer
    x = 408,745.08

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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.