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Finding the Third Proportional to 201,286,296 and 440,258,976

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Solution

The third proportional to 201,286,296 and 440,258,976 is: 962,946,657.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,286,296 : 440,258,976 = 440,258,976 : x
  2. Step 2: Convert to fraction form
    201,286,296/440,258,976 = 440,258,976/x
  3. Step 3: Cross multiply
    201,286,296x = 440,258,976 × 440,258,976
  4. Step 4: Simplify right side
    201,286,296x = 193,827,965,948,568,576
  5. Step 5: Solve for x
    x = 193,827,965,948,568,576/201,286,296
  6. Step 6: Final answer
    x = 962,946,657.57

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Why These Related Problems?

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