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Finding the Third Proportional to 47,773,238 and 104,488,204

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Solution

The third proportional to 47,773,238 and 104,488,204 is: 228,533,489.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,773,238 : 104,488,204 = 104,488,204 : x
  2. Step 2: Convert to fraction form
    47,773,238/104,488,204 = 104,488,204/x
  3. Step 3: Cross multiply
    47,773,238x = 104,488,204 × 104,488,204
  4. Step 4: Simplify right side
    47,773,238x = 10,917,784,775,145,616
  5. Step 5: Solve for x
    x = 10,917,784,775,145,616/47,773,238
  6. Step 6: Final answer
    x = 228,533,489.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.