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Finding the Third Proportional to 208,211,166 and 457,276,832

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Solution

The third proportional to 208,211,166 and 457,276,832 is: 1,004,278,997.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,211,166 : 457,276,832 = 457,276,832 : x
  2. Step 2: Convert to fraction form
    208,211,166/457,276,832 = 457,276,832/x
  3. Step 3: Cross multiply
    208,211,166x = 457,276,832 × 457,276,832
  4. Step 4: Simplify right side
    208,211,166x = 209,102,101,083,956,224
  5. Step 5: Solve for x
    x = 209,102,101,083,956,224/208,211,166
  6. Step 6: Final answer
    x = 1,004,278,997.62

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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.