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Finding the Third Proportional to 83,085,410.81 and 192,327,690.94

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Solution

The third proportional to 83,085,410.81 and 192,327,690.94 is: 445,203,801.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,085,410.81 : 192,327,690.94 = 192,327,690.94 : x
  2. Step 2: Convert to fraction form
    83,085,410.81/192,327,690.94 = 192,327,690.94/x
  3. Step 3: Cross multiply
    83,085,410.81x = 192,327,690.94 × 192,327,690.94
  4. Step 4: Simplify right side
    83,085,410.81x = 36,989,940,701,350,520
  5. Step 5: Solve for x
    x = 36,989,940,701,350,520/83,085,410.81
  6. Step 6: Final answer
    x = 445,203,801.00

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Why These Related Problems?

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