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Finding the Third Proportional to 176,188,311 and 264,160,197

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Solution

The third proportional to 176,188,311 and 264,160,197 is: 396,056,976.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,188,311 : 264,160,197 = 264,160,197 : x
  2. Step 2: Convert to fraction form
    176,188,311/264,160,197 = 264,160,197/x
  3. Step 3: Cross multiply
    176,188,311x = 264,160,197 × 264,160,197
  4. Step 4: Simplify right side
    176,188,311x = 69,780,609,679,078,808
  5. Step 5: Solve for x
    x = 69,780,609,679,078,808/176,188,311
  6. Step 6: Final answer
    x = 396,056,976.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.