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Finding the Third Proportional to 173,716,274 and 381,861,436

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Solution

The third proportional to 173,716,274 and 381,861,436 is: 839,404,121.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,716,274 : 381,861,436 = 381,861,436 : x
  2. Step 2: Convert to fraction form
    173,716,274/381,861,436 = 381,861,436/x
  3. Step 3: Cross multiply
    173,716,274x = 381,861,436 × 381,861,436
  4. Step 4: Simplify right side
    173,716,274x = 145,818,156,303,982,080
  5. Step 5: Solve for x
    x = 145,818,156,303,982,080/173,716,274
  6. Step 6: Final answer
    x = 839,404,121.14

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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.