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Finding the Third Proportional to 226,565,524.69 and 487,993,020.19

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Solution

The third proportional to 226,565,524.69 and 487,993,020.19 is: 1,051,074,244.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,565,524.69 : 487,993,020.19 = 487,993,020.19 : x
  2. Step 2: Convert to fraction form
    226,565,524.69/487,993,020.19 = 487,993,020.19/x
  3. Step 3: Cross multiply
    226,565,524.69x = 487,993,020.19 × 487,993,020.19
  4. Step 4: Simplify right side
    226,565,524.69x = 238,137,187,751,717,792
  5. Step 5: Solve for x
    x = 238,137,187,751,717,792/226,565,524.69
  6. Step 6: Final answer
    x = 1,051,074,244.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.