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Finding the Third Proportional to 43,086.94 and 96,698.81

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Solution

The third proportional to 43,086.94 and 96,698.81 is: 217,018.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,086.94 : 96,698.81 = 96,698.81 : x
  2. Step 2: Convert to fraction form
    43,086.94/96,698.81 = 96,698.81/x
  3. Step 3: Cross multiply
    43,086.94x = 96,698.81 × 96,698.81
  4. Step 4: Simplify right side
    43,086.94x = 9,350,660,338.91
  5. Step 5: Solve for x
    x = 9,350,660,338.91/43,086.94
  6. Step 6: Final answer
    x = 217,018.45

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These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.