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Finding the Third Proportional to 89,767,530 and 196,331,188

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Solution

The third proportional to 89,767,530 and 196,331,188 is: 429,397,304.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,767,530 : 196,331,188 = 196,331,188 : x
  2. Step 2: Convert to fraction form
    89,767,530/196,331,188 = 196,331,188/x
  3. Step 3: Cross multiply
    89,767,530x = 196,331,188 × 196,331,188
  4. Step 4: Simplify right side
    89,767,530x = 38,545,935,381,491,344
  5. Step 5: Solve for x
    x = 38,545,935,381,491,344/89,767,530
  6. Step 6: Final answer
    x = 429,397,304.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.