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Finding the Third Proportional to 192,517,924.50 and 420,314,356

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Solution

The third proportional to 192,517,924.50 and 420,314,356 is: 917,650,438.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,517,924.50 : 420,314,356 = 420,314,356 : x
  2. Step 2: Convert to fraction form
    192,517,924.50/420,314,356 = 420,314,356/x
  3. Step 3: Cross multiply
    192,517,924.50x = 420,314,356 × 420,314,356
  4. Step 4: Simplify right side
    192,517,924.50x = 176,664,157,859,694,720
  5. Step 5: Solve for x
    x = 176,664,157,859,694,720/192,517,924.50
  6. Step 6: Final answer
    x = 917,650,438.62

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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.