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Finding the Third Proportional to 203,781,855 and 447,597,096

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Solution

The third proportional to 203,781,855 and 447,597,096 is: 983,125,609.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,781,855 : 447,597,096 = 447,597,096 : x
  2. Step 2: Convert to fraction form
    203,781,855/447,597,096 = 447,597,096/x
  3. Step 3: Cross multiply
    203,781,855x = 447,597,096 × 447,597,096
  4. Step 4: Simplify right side
    203,781,855x = 200,343,160,347,633,216
  5. Step 5: Solve for x
    x = 200,343,160,347,633,216/203,781,855
  6. Step 6: Final answer
    x = 983,125,609.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.