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Finding the Third Proportional to 206,252,568 and 298,277,640

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Solution

The third proportional to 206,252,568 and 298,277,640 is: 431,362,146.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,252,568 : 298,277,640 = 298,277,640 : x
  2. Step 2: Convert to fraction form
    206,252,568/298,277,640 = 298,277,640/x
  3. Step 3: Cross multiply
    206,252,568x = 298,277,640 × 298,277,640
  4. Step 4: Simplify right side
    206,252,568x = 88,969,550,523,969,600
  5. Step 5: Solve for x
    x = 88,969,550,523,969,600/206,252,568
  6. Step 6: Final answer
    x = 431,362,146.84

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.