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Finding the Third Proportional to 208,211,164 and 457,276,828

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Solution

The third proportional to 208,211,164 and 457,276,828 is: 1,004,278,989.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,211,164 : 457,276,828 = 457,276,828 : x
  2. Step 2: Convert to fraction form
    208,211,164/457,276,828 = 457,276,828/x
  3. Step 3: Cross multiply
    208,211,164x = 457,276,828 × 457,276,828
  4. Step 4: Simplify right side
    208,211,164x = 209,102,097,425,741,568
  5. Step 5: Solve for x
    x = 209,102,097,425,741,568/208,211,164
  6. Step 6: Final answer
    x = 1,004,278,989.70

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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.