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Finding the Third Proportional to 92,346.75 and 188,672.63

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Solution

The third proportional to 92,346.75 and 188,672.63 is: 385,474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,346.75 : 188,672.63 = 188,672.63 : x
  2. Step 2: Convert to fraction form
    92,346.75/188,672.63 = 188,672.63/x
  3. Step 3: Cross multiply
    92,346.75x = 188,672.63 × 188,672.63
  4. Step 4: Simplify right side
    92,346.75x = 35,597,359,424.39
  5. Step 5: Solve for x
    x = 35,597,359,424.39/92,346.75
  6. Step 6: Final answer
    x = 385,474.96

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.