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Finding the Third Proportional to 45,074.81 and 96,180.56

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Solution

The third proportional to 45,074.81 and 96,180.56 is: 205,229.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,074.81 : 96,180.56 = 96,180.56 : x
  2. Step 2: Convert to fraction form
    45,074.81/96,180.56 = 96,180.56/x
  3. Step 3: Cross multiply
    45,074.81x = 96,180.56 × 96,180.56
  4. Step 4: Simplify right side
    45,074.81x = 9,250,700,602.82
  5. Step 5: Solve for x
    x = 9,250,700,602.82/45,074.81
  6. Step 6: Final answer
    x = 205,229.93

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.