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Finding the Third Proportional to 102,335,704 and 222,601,616

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Solution

The third proportional to 102,335,704 and 222,601,616 is: 484,205,194.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,335,704 : 222,601,616 = 222,601,616 : x
  2. Step 2: Convert to fraction form
    102,335,704/222,601,616 = 222,601,616/x
  3. Step 3: Cross multiply
    102,335,704x = 222,601,616 × 222,601,616
  4. Step 4: Simplify right side
    102,335,704x = 49,551,479,445,811,456
  5. Step 5: Solve for x
    x = 49,551,479,445,811,456/102,335,704
  6. Step 6: Final answer
    x = 484,205,194.37

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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.