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Finding the Third Proportional to 47,773,236 and 104,488,200

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Solution

The third proportional to 47,773,236 and 104,488,200 is: 228,533,481.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,773,236 : 104,488,200 = 104,488,200 : x
  2. Step 2: Convert to fraction form
    47,773,236/104,488,200 = 104,488,200/x
  3. Step 3: Cross multiply
    47,773,236x = 104,488,200 × 104,488,200
  4. Step 4: Simplify right side
    47,773,236x = 10,917,783,939,240,000
  5. Step 5: Solve for x
    x = 10,917,783,939,240,000/47,773,236
  6. Step 6: Final answer
    x = 228,533,481.37

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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.