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Finding the Third Proportional to 106,186,816 and 231,676,992

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Solution

The third proportional to 106,186,816 and 231,676,992 is: 505,469,799.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,186,816 : 231,676,992 = 231,676,992 : x
  2. Step 2: Convert to fraction form
    106,186,816/231,676,992 = 231,676,992/x
  3. Step 3: Cross multiply
    106,186,816x = 231,676,992 × 231,676,992
  4. Step 4: Simplify right side
    106,186,816x = 53,674,228,622,168,064
  5. Step 5: Solve for x
    x = 53,674,228,622,168,064/106,186,816
  6. Step 6: Final answer
    x = 505,469,799.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.