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Finding the Third Proportional to 104,162,764 and 220,135,304

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Solution

The third proportional to 104,162,764 and 220,135,304 is: 465,229,129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,162,764 : 220,135,304 = 220,135,304 : x
  2. Step 2: Convert to fraction form
    104,162,764/220,135,304 = 220,135,304/x
  3. Step 3: Cross multiply
    104,162,764x = 220,135,304 × 220,135,304
  4. Step 4: Simplify right side
    104,162,764x = 48,459,552,067,172,416
  5. Step 5: Solve for x
    x = 48,459,552,067,172,416/104,162,764
  6. Step 6: Final answer
    x = 465,229,129.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.