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Finding the Third Proportional to 111,469,839 and 233,103,477

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Solution

The third proportional to 111,469,839 and 233,103,477 is: 487,461,285.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,469,839 : 233,103,477 = 233,103,477 : x
  2. Step 2: Convert to fraction form
    111,469,839/233,103,477 = 233,103,477/x
  3. Step 3: Cross multiply
    111,469,839x = 233,103,477 × 233,103,477
  4. Step 4: Simplify right side
    111,469,839x = 54,337,230,989,489,528
  5. Step 5: Solve for x
    x = 54,337,230,989,489,528/111,469,839
  6. Step 6: Final answer
    x = 487,461,285.29

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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.