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Finding the Third Proportional to 154,408,416.75 and 339,422,805

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Solution

The third proportional to 154,408,416.75 and 339,422,805 is: 746,124,097.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,408,416.75 : 339,422,805 = 339,422,805 : x
  2. Step 2: Convert to fraction form
    154,408,416.75/339,422,805 = 339,422,805/x
  3. Step 3: Cross multiply
    154,408,416.75x = 339,422,805 × 339,422,805
  4. Step 4: Simplify right side
    154,408,416.75x = 115,207,840,554,068,032
  5. Step 5: Solve for x
    x = 115,207,840,554,068,032/154,408,416.75
  6. Step 6: Final answer
    x = 746,124,097.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.