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Finding the Third Proportional to 87,369.47 and 191,093.34

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Solution

The third proportional to 87,369.47 and 191,093.34 is: 417,956.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,369.47 : 191,093.34 = 191,093.34 : x
  2. Step 2: Convert to fraction form
    87,369.47/191,093.34 = 191,093.34/x
  3. Step 3: Cross multiply
    87,369.47x = 191,093.34 × 191,093.34
  4. Step 4: Simplify right side
    87,369.47x = 36,516,666,025.56
  5. Step 5: Solve for x
    x = 36,516,666,025.56/87,369.47
  6. Step 6: Final answer
    x = 417,956.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.