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Finding the Third Proportional to 91,054.31 and 185,723.06

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Solution

The third proportional to 91,054.31 and 185,723.06 is: 378,818.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,054.31 : 185,723.06 = 185,723.06 : x
  2. Step 2: Convert to fraction form
    91,054.31/185,723.06 = 185,723.06/x
  3. Step 3: Cross multiply
    91,054.31x = 185,723.06 × 185,723.06
  4. Step 4: Simplify right side
    91,054.31x = 34,493,055,944.38
  5. Step 5: Solve for x
    x = 34,493,055,944.38/91,054.31
  6. Step 6: Final answer
    x = 378,818.48

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