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Finding the Third Proportional to 303,244,016 and 443,493,600

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Solution

The third proportional to 303,244,016 and 443,493,600 is: 648,608,258.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,244,016 : 443,493,600 = 443,493,600 : x
  2. Step 2: Convert to fraction form
    303,244,016/443,493,600 = 443,493,600/x
  3. Step 3: Cross multiply
    303,244,016x = 443,493,600 × 443,493,600
  4. Step 4: Simplify right side
    303,244,016x = 196,686,573,240,960,000
  5. Step 5: Solve for x
    x = 196,686,573,240,960,000/303,244,016
  6. Step 6: Final answer
    x = 648,608,258.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.