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Finding the Third Proportional to 135,858,228 and 287,050,856

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Solution

The third proportional to 135,858,228 and 287,050,856 is: 606,501,314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,858,228 : 287,050,856 = 287,050,856 : x
  2. Step 2: Convert to fraction form
    135,858,228/287,050,856 = 287,050,856/x
  3. Step 3: Cross multiply
    135,858,228x = 287,050,856 × 287,050,856
  4. Step 4: Simplify right side
    135,858,228x = 82,398,193,930,332,736
  5. Step 5: Solve for x
    x = 82,398,193,930,332,736/135,858,228
  6. Step 6: Final answer
    x = 606,501,314.96

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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.