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Finding the Third Proportional to 203,728,782 and 441,909,851

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Solution

The third proportional to 203,728,782 and 441,909,851 is: 958,550,453.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,728,782 : 441,909,851 = 441,909,851 : x
  2. Step 2: Convert to fraction form
    203,728,782/441,909,851 = 441,909,851/x
  3. Step 3: Cross multiply
    203,728,782x = 441,909,851 × 441,909,851
  4. Step 4: Simplify right side
    203,728,782x = 195,284,316,410,842,208
  5. Step 5: Solve for x
    x = 195,284,316,410,842,208/203,728,782
  6. Step 6: Final answer
    x = 958,550,453.67

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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.