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Finding the Third Proportional to 156,099,324 and 329,780,184

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Solution

The third proportional to 156,099,324 and 329,780,184 is: 696,703,656.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,099,324 : 329,780,184 = 329,780,184 : x
  2. Step 2: Convert to fraction form
    156,099,324/329,780,184 = 329,780,184/x
  3. Step 3: Cross multiply
    156,099,324x = 329,780,184 × 329,780,184
  4. Step 4: Simplify right side
    156,099,324x = 108,754,969,759,073,856
  5. Step 5: Solve for x
    x = 108,754,969,759,073,856/156,099,324
  6. Step 6: Final answer
    x = 696,703,656.19

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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.