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Finding the Third Proportional to 201,285,783 and 440,257,923

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Solution

The third proportional to 201,285,783 and 440,257,923 is: 962,944,505.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,285,783 : 440,257,923 = 440,257,923 : x
  2. Step 2: Convert to fraction form
    201,285,783/440,257,923 = 440,257,923/x
  3. Step 3: Cross multiply
    201,285,783x = 440,257,923 × 440,257,923
  4. Step 4: Simplify right side
    201,285,783x = 193,827,038,764,273,920
  5. Step 5: Solve for x
    x = 193,827,038,764,273,920/201,285,783
  6. Step 6: Final answer
    x = 962,944,505.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.