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Finding the Third Proportional to 91,185.75 and 192,304.13

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Solution

The third proportional to 91,185.75 and 192,304.13 is: 405,555.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,185.75 : 192,304.13 = 192,304.13 : x
  2. Step 2: Convert to fraction form
    91,185.75/192,304.13 = 192,304.13/x
  3. Step 3: Cross multiply
    91,185.75x = 192,304.13 × 192,304.13
  4. Step 4: Simplify right side
    91,185.75x = 36,980,876,492.02
  5. Step 5: Solve for x
    x = 36,980,876,492.02/91,185.75
  6. Step 6: Final answer
    x = 405,555.43

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Why These Related Problems?

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