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Finding the Third Proportional to 91,299.66 and 199,206.84

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Solution

The third proportional to 91,299.66 and 199,206.84 is: 434,649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,299.66 : 199,206.84 = 199,206.84 : x
  2. Step 2: Convert to fraction form
    91,299.66/199,206.84 = 199,206.84/x
  3. Step 3: Cross multiply
    91,299.66x = 199,206.84 × 199,206.84
  4. Step 4: Simplify right side
    91,299.66x = 39,683,366,596.84
  5. Step 5: Solve for x
    x = 39,683,366,596.84/91,299.66
  6. Step 6: Final answer
    x = 434,649.68

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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.