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Finding the Third Proportional to 89,369,626 and 192,847,331

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Solution

The third proportional to 89,369,626 and 192,847,331 is: 416,137,951.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,369,626 : 192,847,331 = 192,847,331 : x
  2. Step 2: Convert to fraction form
    89,369,626/192,847,331 = 192,847,331/x
  3. Step 3: Cross multiply
    89,369,626x = 192,847,331 × 192,847,331
  4. Step 4: Simplify right side
    89,369,626x = 37,190,093,073,823,560
  5. Step 5: Solve for x
    x = 37,190,093,073,823,560/89,369,626
  6. Step 6: Final answer
    x = 416,137,951.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.