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Finding the Third Proportional to 100,219.50 and 233,052.75

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Solution

The third proportional to 100,219.50 and 233,052.75 is: 541,946.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,219.50 : 233,052.75 = 233,052.75 : x
  2. Step 2: Convert to fraction form
    100,219.50/233,052.75 = 233,052.75/x
  3. Step 3: Cross multiply
    100,219.50x = 233,052.75 × 233,052.75
  4. Step 4: Simplify right side
    100,219.50x = 54,313,584,282.56
  5. Step 5: Solve for x
    x = 54,313,584,282.56/100,219.50
  6. Step 6: Final answer
    x = 541,946.27

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.