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Finding the Third Proportional to 130,944.75 and 196,201.13

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Solution

The third proportional to 130,944.75 and 196,201.13 is: 293,978.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,944.75 : 196,201.13 = 196,201.13 : x
  2. Step 2: Convert to fraction form
    130,944.75/196,201.13 = 196,201.13/x
  3. Step 3: Cross multiply
    130,944.75x = 196,201.13 × 196,201.13
  4. Step 4: Simplify right side
    130,944.75x = 38,494,881,451.27
  5. Step 5: Solve for x
    x = 38,494,881,451.27/130,944.75
  6. Step 6: Final answer
    x = 293,978.04

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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.