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Finding the Third Proportional to 105,904,854 and 228,540,204

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Solution

The third proportional to 105,904,854 and 228,540,204 is: 493,184,428.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,904,854 : 228,540,204 = 228,540,204 : x
  2. Step 2: Convert to fraction form
    105,904,854/228,540,204 = 228,540,204/x
  3. Step 3: Cross multiply
    105,904,854x = 228,540,204 × 228,540,204
  4. Step 4: Simplify right side
    105,904,854x = 52,230,624,844,361,616
  5. Step 5: Solve for x
    x = 52,230,624,844,361,616/105,904,854
  6. Step 6: Final answer
    x = 493,184,428.02

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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.