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Finding the Third Proportional to 206,093,120 and 444,470,364.75

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Solution

The third proportional to 206,093,120 and 444,470,364.75 is: 958,566,230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,093,120 : 444,470,364.75 = 444,470,364.75 : x
  2. Step 2: Convert to fraction form
    206,093,120/444,470,364.75 = 444,470,364.75/x
  3. Step 3: Cross multiply
    206,093,120x = 444,470,364.75 × 444,470,364.75
  4. Step 4: Simplify right side
    206,093,120x = 197,553,905,140,998,048
  5. Step 5: Solve for x
    x = 197,553,905,140,998,048/206,093,120
  6. Step 6: Final answer
    x = 958,566,230.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.