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Finding the Third Proportional to 77,446.88 and 159,062.44

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Solution

The third proportional to 77,446.88 and 159,062.44 is: 326,686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,446.88 : 159,062.44 = 159,062.44 : x
  2. Step 2: Convert to fraction form
    77,446.88/159,062.44 = 159,062.44/x
  3. Step 3: Cross multiply
    77,446.88x = 159,062.44 × 159,062.44
  4. Step 4: Simplify right side
    77,446.88x = 25,300,859,023.44
  5. Step 5: Solve for x
    x = 25,300,859,023.44/77,446.88
  6. Step 6: Final answer
    x = 326,686.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.