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Finding the Third Proportional to 202,519,140 and 441,835,194

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Solution

The third proportional to 202,519,140 and 441,835,194 is: 963,950,067.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,519,140 : 441,835,194 = 441,835,194 : x
  2. Step 2: Convert to fraction form
    202,519,140/441,835,194 = 441,835,194/x
  3. Step 3: Cross multiply
    202,519,140x = 441,835,194 × 441,835,194
  4. Step 4: Simplify right side
    202,519,140x = 195,218,338,657,017,632
  5. Step 5: Solve for x
    x = 195,218,338,657,017,632/202,519,140
  6. Step 6: Final answer
    x = 963,950,067.42

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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.