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Finding the Third Proportional to 92,731.50 and 189,867.38

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Solution

The third proportional to 92,731.50 and 189,867.38 is: 388,752.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,731.50 : 189,867.38 = 189,867.38 : x
  2. Step 2: Convert to fraction form
    92,731.50/189,867.38 = 189,867.38/x
  3. Step 3: Cross multiply
    92,731.50x = 189,867.38 × 189,867.38
  4. Step 4: Simplify right side
    92,731.50x = 36,049,620,089.39
  5. Step 5: Solve for x
    x = 36,049,620,089.39/92,731.50
  6. Step 6: Final answer
    x = 388,752.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.