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Finding the Third Proportional to 226,367,077 and 485,004,433

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Solution

The third proportional to 226,367,077 and 485,004,433 is: 1,039,149,787.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,367,077 : 485,004,433 = 485,004,433 : x
  2. Step 2: Convert to fraction form
    226,367,077/485,004,433 = 485,004,433/x
  3. Step 3: Cross multiply
    226,367,077x = 485,004,433 × 485,004,433
  4. Step 4: Simplify right side
    226,367,077x = 235,229,300,029,651,488
  5. Step 5: Solve for x
    x = 235,229,300,029,651,488/226,367,077
  6. Step 6: Final answer
    x = 1,039,149,787.80

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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.