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Finding the Third Proportional to 165,459,738 and 363,741,972

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Solution

The third proportional to 165,459,738 and 363,741,972 is: 799,639,983.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,459,738 : 363,741,972 = 363,741,972 : x
  2. Step 2: Convert to fraction form
    165,459,738/363,741,972 = 363,741,972/x
  3. Step 3: Cross multiply
    165,459,738x = 363,741,972 × 363,741,972
  4. Step 4: Simplify right side
    165,459,738x = 132,308,222,194,448,784
  5. Step 5: Solve for x
    x = 132,308,222,194,448,784/165,459,738
  6. Step 6: Final answer
    x = 799,639,983.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.