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Finding the Third Proportional to 226,366,602 and 485,003,496

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Solution

The third proportional to 226,366,602 and 485,003,496 is: 1,039,147,953.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,366,602 : 485,003,496 = 485,003,496 : x
  2. Step 2: Convert to fraction form
    226,366,602/485,003,496 = 485,003,496/x
  3. Step 3: Cross multiply
    226,366,602x = 485,003,496 × 485,003,496
  4. Step 4: Simplify right side
    226,366,602x = 235,228,391,132,222,016
  5. Step 5: Solve for x
    x = 235,228,391,132,222,016/226,366,602
  6. Step 6: Final answer
    x = 1,039,147,953.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.