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Finding the Third Proportional to 156,244,156 and 330,202,976

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Solution

The third proportional to 156,244,156 and 330,202,976 is: 697,843,734.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,244,156 : 330,202,976 = 330,202,976 : x
  2. Step 2: Convert to fraction form
    156,244,156/330,202,976 = 330,202,976/x
  3. Step 3: Cross multiply
    156,244,156x = 330,202,976 × 330,202,976
  4. Step 4: Simplify right side
    156,244,156x = 109,034,005,359,256,576
  5. Step 5: Solve for x
    x = 109,034,005,359,256,576/156,244,156
  6. Step 6: Final answer
    x = 697,843,734.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.