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Finding the Third Proportional to 77,797.38 and 158,448.38

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Solution

The third proportional to 77,797.38 and 158,448.38 is: 322,708.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,797.38 : 158,448.38 = 158,448.38 : x
  2. Step 2: Convert to fraction form
    77,797.38/158,448.38 = 158,448.38/x
  3. Step 3: Cross multiply
    77,797.38x = 158,448.38 × 158,448.38
  4. Step 4: Simplify right side
    77,797.38x = 25,105,887,540.14
  5. Step 5: Solve for x
    x = 25,105,887,540.14/77,797.38
  6. Step 6: Final answer
    x = 322,708.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.