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Finding the Third Proportional to 202,519,161 and 441,835,231

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Solution

The third proportional to 202,519,161 and 441,835,231 is: 963,950,128.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,519,161 : 441,835,231 = 441,835,231 : x
  2. Step 2: Convert to fraction form
    202,519,161/441,835,231 = 441,835,231/x
  3. Step 3: Cross multiply
    202,519,161x = 441,835,231 × 441,835,231
  4. Step 4: Simplify right side
    202,519,161x = 195,218,371,352,823,360
  5. Step 5: Solve for x
    x = 195,218,371,352,823,360/202,519,161
  6. Step 6: Final answer
    x = 963,950,128.91

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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.