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Finding the Third Proportional to 47,860,424 and 104,492,176

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Solution

The third proportional to 47,860,424 and 104,492,176 is: 228,134,519.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,860,424 : 104,492,176 = 104,492,176 : x
  2. Step 2: Convert to fraction form
    47,860,424/104,492,176 = 104,492,176/x
  3. Step 3: Cross multiply
    47,860,424x = 104,492,176 × 104,492,176
  4. Step 4: Simplify right side
    47,860,424x = 10,918,614,845,214,976
  5. Step 5: Solve for x
    x = 10,918,614,845,214,976/47,860,424
  6. Step 6: Final answer
    x = 228,134,519.77

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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.