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Finding the Third Proportional to 202,519,138 and 441,835,190

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Solution

The third proportional to 202,519,138 and 441,835,190 is: 963,950,059.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,519,138 : 441,835,190 = 441,835,190 : x
  2. Step 2: Convert to fraction form
    202,519,138/441,835,190 = 441,835,190/x
  3. Step 3: Cross multiply
    202,519,138x = 441,835,190 × 441,835,190
  4. Step 4: Simplify right side
    202,519,138x = 195,218,335,122,336,096
  5. Step 5: Solve for x
    x = 195,218,335,122,336,096/202,519,138
  6. Step 6: Final answer
    x = 963,950,059.49

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