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Finding the Third Proportional to 208,211,158 and 457,276,816

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Solution

The third proportional to 208,211,158 and 457,276,816 is: 1,004,278,965.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,211,158 : 457,276,816 = 457,276,816 : x
  2. Step 2: Convert to fraction form
    208,211,158/457,276,816 = 457,276,816/x
  3. Step 3: Cross multiply
    208,211,158x = 457,276,816 × 457,276,816
  4. Step 4: Simplify right side
    208,211,158x = 209,102,086,451,097,856
  5. Step 5: Solve for x
    x = 209,102,086,451,097,856/208,211,158
  6. Step 6: Final answer
    x = 1,004,278,965.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.