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Finding the Third Proportional to 94,812.75 and 218,940.75

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Solution

The third proportional to 94,812.75 and 218,940.75 is: 505,576.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,812.75 : 218,940.75 = 218,940.75 : x
  2. Step 2: Convert to fraction form
    94,812.75/218,940.75 = 218,940.75/x
  3. Step 3: Cross multiply
    94,812.75x = 218,940.75 × 218,940.75
  4. Step 4: Simplify right side
    94,812.75x = 47,935,052,010.56
  5. Step 5: Solve for x
    x = 47,935,052,010.56/94,812.75
  6. Step 6: Final answer
    x = 505,576.01

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.