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Finding the Third Proportional to 191,283,132 and 396,176,964

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Solution

The third proportional to 191,283,132 and 396,176,964 is: 820,543,793.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,283,132 : 396,176,964 = 396,176,964 : x
  2. Step 2: Convert to fraction form
    191,283,132/396,176,964 = 396,176,964/x
  3. Step 3: Cross multiply
    191,283,132x = 396,176,964 × 396,176,964
  4. Step 4: Simplify right side
    191,283,132x = 156,956,186,804,257,280
  5. Step 5: Solve for x
    x = 156,956,186,804,257,280/191,283,132
  6. Step 6: Final answer
    x = 820,543,793.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.