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Finding the Third Proportional to 226,366,537.50 and 485,003,353.50

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Solution

The third proportional to 226,366,537.50 and 485,003,353.50 is: 1,039,147,638.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,366,537.50 : 485,003,353.50 = 485,003,353.50 : x
  2. Step 2: Convert to fraction form
    226,366,537.50/485,003,353.50 = 485,003,353.50/x
  3. Step 3: Cross multiply
    226,366,537.50x = 485,003,353.50 × 485,003,353.50
  4. Step 4: Simplify right side
    226,366,537.50x = 235,228,252,906,245,952
  5. Step 5: Solve for x
    x = 235,228,252,906,245,952/226,366,537.50
  6. Step 6: Final answer
    x = 1,039,147,638.62

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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.