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Finding the Third Proportional to 111,469,917 and 233,103,633

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Solution

The third proportional to 111,469,917 and 233,103,633 is: 487,461,596.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,469,917 : 233,103,633 = 233,103,633 : x
  2. Step 2: Convert to fraction form
    111,469,917/233,103,633 = 233,103,633/x
  3. Step 3: Cross multiply
    111,469,917x = 233,103,633 × 233,103,633
  4. Step 4: Simplify right side
    111,469,917x = 54,337,303,717,798,688
  5. Step 5: Solve for x
    x = 54,337,303,717,798,688/111,469,917
  6. Step 6: Final answer
    x = 487,461,596.64

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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.