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Finding the Third Proportional to 130,799.26 and 196,199.96

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Solution

The third proportional to 130,799.26 and 196,199.96 is: 294,301.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,799.26 : 196,199.96 = 196,199.96 : x
  2. Step 2: Convert to fraction form
    130,799.26/196,199.96 = 196,199.96/x
  3. Step 3: Cross multiply
    130,799.26x = 196,199.96 × 196,199.96
  4. Step 4: Simplify right side
    130,799.26x = 38,494,422,755.86
  5. Step 5: Solve for x
    x = 38,494,422,755.86/130,799.26
  6. Step 6: Final answer
    x = 294,301.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.