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Finding the Third Proportional to 91,513.13 and 192,867.75

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Solution

The third proportional to 91,513.13 and 192,867.75 is: 406,476.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,513.13 : 192,867.75 = 192,867.75 : x
  2. Step 2: Convert to fraction form
    91,513.13/192,867.75 = 192,867.75/x
  3. Step 3: Cross multiply
    91,513.13x = 192,867.75 × 192,867.75
  4. Step 4: Simplify right side
    91,513.13x = 37,197,968,990.06
  5. Step 5: Solve for x
    x = 37,197,968,990.06/91,513.13
  6. Step 6: Final answer
    x = 406,476.87

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.