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Finding the Third Proportional to 80,047.50 and 186,996.75

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Solution

The third proportional to 80,047.50 and 186,996.75 is: 436,837.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,047.50 : 186,996.75 = 186,996.75 : x
  2. Step 2: Convert to fraction form
    80,047.50/186,996.75 = 186,996.75/x
  3. Step 3: Cross multiply
    80,047.50x = 186,996.75 × 186,996.75
  4. Step 4: Simplify right side
    80,047.50x = 34,967,784,510.56
  5. Step 5: Solve for x
    x = 34,967,784,510.56/80,047.50
  6. Step 6: Final answer
    x = 436,837.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.