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Finding the Third Proportional to 202,519,159 and 441,835,227

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Solution

The third proportional to 202,519,159 and 441,835,227 is: 963,950,120.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,519,159 : 441,835,227 = 441,835,227 : x
  2. Step 2: Convert to fraction form
    202,519,159/441,835,227 = 441,835,227/x
  3. Step 3: Cross multiply
    202,519,159x = 441,835,227 × 441,835,227
  4. Step 4: Simplify right side
    202,519,159x = 195,218,367,818,141,536
  5. Step 5: Solve for x
    x = 195,218,367,818,141,536/202,519,159
  6. Step 6: Final answer
    x = 963,950,120.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.