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Finding the Third Proportional to 72,836,084 and 156,002,296

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Solution

The third proportional to 72,836,084 and 156,002,296 is: 334,129,939.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,836,084 : 156,002,296 = 156,002,296 : x
  2. Step 2: Convert to fraction form
    72,836,084/156,002,296 = 156,002,296/x
  3. Step 3: Cross multiply
    72,836,084x = 156,002,296 × 156,002,296
  4. Step 4: Simplify right side
    72,836,084x = 24,336,716,357,271,616
  5. Step 5: Solve for x
    x = 24,336,716,357,271,616/72,836,084
  6. Step 6: Final answer
    x = 334,129,939.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.