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Finding the Third Proportional to 231,421,280 and 494,228,064

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Solution

The third proportional to 231,421,280 and 494,228,064 is: 1,055,483,658.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,421,280 : 494,228,064 = 494,228,064 : x
  2. Step 2: Convert to fraction form
    231,421,280/494,228,064 = 494,228,064/x
  3. Step 3: Cross multiply
    231,421,280x = 494,228,064 × 494,228,064
  4. Step 4: Simplify right side
    231,421,280x = 244,261,379,245,188,096
  5. Step 5: Solve for x
    x = 244,261,379,245,188,096/231,421,280
  6. Step 6: Final answer
    x = 1,055,483,658.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.