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Finding the Third Proportional to 111,469,906 and 233,103,610

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Solution

The third proportional to 111,469,906 and 233,103,610 is: 487,461,548.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,469,906 : 233,103,610 = 233,103,610 : x
  2. Step 2: Convert to fraction form
    111,469,906/233,103,610 = 233,103,610/x
  3. Step 3: Cross multiply
    111,469,906x = 233,103,610 × 233,103,610
  4. Step 4: Simplify right side
    111,469,906x = 54,337,292,995,032,096
  5. Step 5: Solve for x
    x = 54,337,292,995,032,096/111,469,906
  6. Step 6: Final answer
    x = 487,461,548.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.