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Finding the Third Proportional to 91,064.25 and 198,758.81

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Solution

The third proportional to 91,064.25 and 198,758.81 is: 433,815.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,064.25 : 198,758.81 = 198,758.81 : x
  2. Step 2: Convert to fraction form
    91,064.25/198,758.81 = 198,758.81/x
  3. Step 3: Cross multiply
    91,064.25x = 198,758.81 × 198,758.81
  4. Step 4: Simplify right side
    91,064.25x = 39,505,065,546.41
  5. Step 5: Solve for x
    x = 39,505,065,546.41/91,064.25
  6. Step 6: Final answer
    x = 433,815.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.