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Finding the Third Proportional to 111,469,803 and 233,103,414

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Solution

The third proportional to 111,469,803 and 233,103,414 is: 487,461,179.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,469,803 : 233,103,414 = 233,103,414 : x
  2. Step 2: Convert to fraction form
    111,469,803/233,103,414 = 233,103,414/x
  3. Step 3: Cross multiply
    111,469,803x = 233,103,414 × 233,103,414
  4. Step 4: Simplify right side
    111,469,803x = 54,337,201,618,455,392
  5. Step 5: Solve for x
    x = 54,337,201,618,455,392/111,469,803
  6. Step 6: Final answer
    x = 487,461,179.23

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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.