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Finding the Third Proportional to 206,093,092.75 and 444,470,314.25

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Solution

The third proportional to 206,093,092.75 and 444,470,314.25 is: 958,566,139.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,093,092.75 : 444,470,314.25 = 444,470,314.25 : x
  2. Step 2: Convert to fraction form
    206,093,092.75/444,470,314.25 = 444,470,314.25/x
  3. Step 3: Cross multiply
    206,093,092.75x = 444,470,314.25 × 444,470,314.25
  4. Step 4: Simplify right side
    206,093,092.75x = 197,553,860,249,493,760
  5. Step 5: Solve for x
    x = 197,553,860,249,493,760/206,093,092.75
  6. Step 6: Final answer
    x = 958,566,139.28

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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.