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Finding the Third Proportional to 208,456,719 and 451,226,910

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Solution

The third proportional to 208,456,719 and 451,226,910 is: 976,729,007.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,456,719 : 451,226,910 = 451,226,910 : x
  2. Step 2: Convert to fraction form
    208,456,719/451,226,910 = 451,226,910/x
  3. Step 3: Cross multiply
    208,456,719x = 451,226,910 × 451,226,910
  4. Step 4: Simplify right side
    208,456,719x = 203,605,724,308,148,096
  5. Step 5: Solve for x
    x = 203,605,724,308,148,096/208,456,719
  6. Step 6: Final answer
    x = 976,729,007.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.