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Finding the Third Proportional to 205,530,484 and 485,015,162

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Solution

The third proportional to 205,530,484 and 485,015,162 is: 1,144,548,987.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,530,484 : 485,015,162 = 485,015,162 : x
  2. Step 2: Convert to fraction form
    205,530,484/485,015,162 = 485,015,162/x
  3. Step 3: Cross multiply
    205,530,484x = 485,015,162 × 485,015,162
  4. Step 4: Simplify right side
    205,530,484x = 235,239,707,369,886,240
  5. Step 5: Solve for x
    x = 235,239,707,369,886,240/205,530,484
  6. Step 6: Final answer
    x = 1,144,548,987.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.