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Finding the Third Proportional to 91,055.81 and 185,724.56

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Solution

The third proportional to 91,055.81 and 185,724.56 is: 378,818.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,055.81 : 185,724.56 = 185,724.56 : x
  2. Step 2: Convert to fraction form
    91,055.81/185,724.56 = 185,724.56/x
  3. Step 3: Cross multiply
    91,055.81x = 185,724.56 × 185,724.56
  4. Step 4: Simplify right side
    91,055.81x = 34,493,613,115.82
  5. Step 5: Solve for x
    x = 34,493,613,115.82/91,055.81
  6. Step 6: Final answer
    x = 378,818.36

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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.