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Finding the Third Proportional to 226,434,512 and 493,860,104

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Solution

The third proportional to 226,434,512 and 493,860,104 is: 1,077,122,918.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,434,512 : 493,860,104 = 493,860,104 : x
  2. Step 2: Convert to fraction form
    226,434,512/493,860,104 = 493,860,104/x
  3. Step 3: Cross multiply
    226,434,512x = 493,860,104 × 493,860,104
  4. Step 4: Simplify right side
    226,434,512x = 243,897,802,322,890,816
  5. Step 5: Solve for x
    x = 243,897,802,322,890,816/226,434,512
  6. Step 6: Final answer
    x = 1,077,122,918.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.