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Finding the Third Proportional to 111,469,767 and 233,103,343

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Solution

The third proportional to 111,469,767 and 233,103,343 is: 487,461,039.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,469,767 : 233,103,343 = 233,103,343 : x
  2. Step 2: Convert to fraction form
    111,469,767/233,103,343 = 233,103,343/x
  3. Step 3: Cross multiply
    111,469,767x = 233,103,343 × 233,103,343
  4. Step 4: Simplify right side
    111,469,767x = 54,337,168,517,775,648
  5. Step 5: Solve for x
    x = 54,337,168,517,775,648/111,469,767
  6. Step 6: Final answer
    x = 487,461,039.71

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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.