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Finding the Third Proportional to 156,071,934 and 361,416,222

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Solution

The third proportional to 156,071,934 and 361,416,222 is: 836,932,574.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,071,934 : 361,416,222 = 361,416,222 : x
  2. Step 2: Convert to fraction form
    156,071,934/361,416,222 = 361,416,222/x
  3. Step 3: Cross multiply
    156,071,934x = 361,416,222 × 361,416,222
  4. Step 4: Simplify right side
    156,071,934x = 130,621,685,524,753,280
  5. Step 5: Solve for x
    x = 130,621,685,524,753,280/156,071,934
  6. Step 6: Final answer
    x = 836,932,574.47

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.