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Finding the Third Proportional to 204,410,587.50 and 443,321,100

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Solution

The third proportional to 204,410,587.50 and 443,321,100 is: 961,464,863.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,410,587.50 : 443,321,100 = 443,321,100 : x
  2. Step 2: Convert to fraction form
    204,410,587.50/443,321,100 = 443,321,100/x
  3. Step 3: Cross multiply
    204,410,587.50x = 443,321,100 × 443,321,100
  4. Step 4: Simplify right side
    204,410,587.50x = 196,533,597,705,209,984
  5. Step 5: Solve for x
    x = 196,533,597,705,209,984/204,410,587.50
  6. Step 6: Final answer
    x = 961,464,863.97

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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.