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Finding the Third Proportional to 203,412,462 and 441,501,415.50

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Solution

The third proportional to 203,412,462 and 441,501,415.50 is: 958,267,246.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,412,462 : 441,501,415.50 = 441,501,415.50 : x
  2. Step 2: Convert to fraction form
    203,412,462/441,501,415.50 = 441,501,415.50/x
  3. Step 3: Cross multiply
    203,412,462x = 441,501,415.50 × 441,501,415.50
  4. Step 4: Simplify right side
    203,412,462x = 194,923,499,888,503,648
  5. Step 5: Solve for x
    x = 194,923,499,888,503,648/203,412,462
  6. Step 6: Final answer
    x = 958,267,246.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.