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Finding the Third Proportional to 83,085,414.75 and 192,327,700.50

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Solution

The third proportional to 83,085,414.75 and 192,327,700.50 is: 445,203,824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,085,414.75 : 192,327,700.50 = 192,327,700.50 : x
  2. Step 2: Convert to fraction form
    83,085,414.75/192,327,700.50 = 192,327,700.50/x
  3. Step 3: Cross multiply
    83,085,414.75x = 192,327,700.50 × 192,327,700.50
  4. Step 4: Simplify right side
    83,085,414.75x = 36,989,944,379,617,704
  5. Step 5: Solve for x
    x = 36,989,944,379,617,704/83,085,414.75
  6. Step 6: Final answer
    x = 445,203,824.17

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.