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Finding the Third Proportional to 115,665,845 and 154,203,919

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Solution

The third proportional to 115,665,845 and 154,203,919 is: 205,582,284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,665,845 : 154,203,919 = 154,203,919 : x
  2. Step 2: Convert to fraction form
    115,665,845/154,203,919 = 154,203,919/x
  3. Step 3: Cross multiply
    115,665,845x = 154,203,919 × 154,203,919
  4. Step 4: Simplify right side
    115,665,845x = 23,778,848,634,958,560
  5. Step 5: Solve for x
    x = 23,778,848,634,958,560/115,665,845
  6. Step 6: Final answer
    x = 205,582,284.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.