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Finding the Third Proportional to 77,794.88 and 158,443.88

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Solution

The third proportional to 77,794.88 and 158,443.88 is: 322,700.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,794.88 : 158,443.88 = 158,443.88 : x
  2. Step 2: Convert to fraction form
    77,794.88/158,443.88 = 158,443.88/x
  3. Step 3: Cross multiply
    77,794.88x = 158,443.88 × 158,443.88
  4. Step 4: Simplify right side
    77,794.88x = 25,104,461,525.02
  5. Step 5: Solve for x
    x = 25,104,461,525.02/77,794.88
  6. Step 6: Final answer
    x = 322,700.71

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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.