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Finding the Third Proportional to 166,992,864 and 268,440,156

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Solution

The third proportional to 166,992,864 and 268,440,156 is: 431,516,147.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,992,864 : 268,440,156 = 268,440,156 : x
  2. Step 2: Convert to fraction form
    166,992,864/268,440,156 = 268,440,156/x
  3. Step 3: Cross multiply
    166,992,864x = 268,440,156 × 268,440,156
  4. Step 4: Simplify right side
    166,992,864x = 72,060,117,353,304,336
  5. Step 5: Solve for x
    x = 72,060,117,353,304,336/166,992,864
  6. Step 6: Final answer
    x = 431,516,147.62

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.