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Finding the Third Proportional to 90,569,686 and 198,932,156

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Solution

The third proportional to 90,569,686 and 198,932,156 is: 436,945,344.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,569,686 : 198,932,156 = 198,932,156 : x
  2. Step 2: Convert to fraction form
    90,569,686/198,932,156 = 198,932,156/x
  3. Step 3: Cross multiply
    90,569,686x = 198,932,156 × 198,932,156
  4. Step 4: Simplify right side
    90,569,686x = 39,574,002,690,808,336
  5. Step 5: Solve for x
    x = 39,574,002,690,808,336/90,569,686
  6. Step 6: Final answer
    x = 436,945,344.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.