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Finding the Third Proportional to 111,469,869 and 233,103,534

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Solution

The third proportional to 111,469,869 and 233,103,534 is: 487,461,392.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,469,869 : 233,103,534 = 233,103,534 : x
  2. Step 2: Convert to fraction form
    111,469,869/233,103,534 = 233,103,534/x
  3. Step 3: Cross multiply
    111,469,869x = 233,103,534 × 233,103,534
  4. Step 4: Simplify right side
    111,469,869x = 54,337,257,563,289,152
  5. Step 5: Solve for x
    x = 54,337,257,563,289,152/111,469,869
  6. Step 6: Final answer
    x = 487,461,392.49

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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.