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Finding the Third Proportional to 42,054.19 and 92,446.31

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Solution

The third proportional to 42,054.19 and 92,446.31 is: 203,221.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,054.19 : 92,446.31 = 92,446.31 : x
  2. Step 2: Convert to fraction form
    42,054.19/92,446.31 = 92,446.31/x
  3. Step 3: Cross multiply
    42,054.19x = 92,446.31 × 92,446.31
  4. Step 4: Simplify right side
    42,054.19x = 8,546,320,694.85
  5. Step 5: Solve for x
    x = 8,546,320,694.85/42,054.19
  6. Step 6: Final answer
    x = 203,221.63

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.