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Finding the Third Proportional to 110,200.50 and 229,938.75

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Solution

The third proportional to 110,200.50 and 229,938.75 is: 479,778.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,200.50 : 229,938.75 = 229,938.75 : x
  2. Step 2: Convert to fraction form
    110,200.50/229,938.75 = 229,938.75/x
  3. Step 3: Cross multiply
    110,200.50x = 229,938.75 × 229,938.75
  4. Step 4: Simplify right side
    110,200.50x = 52,871,828,751.56
  5. Step 5: Solve for x
    x = 52,871,828,751.56/110,200.50
  6. Step 6: Final answer
    x = 479,778.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.