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Finding the Third Proportional to 47,197,578.66 and 103,761,394.88

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Solution

The third proportional to 47,197,578.66 and 103,761,394.88 is: 228,113,970.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,197,578.66 : 103,761,394.88 = 103,761,394.88 : x
  2. Step 2: Convert to fraction form
    47,197,578.66/103,761,394.88 = 103,761,394.88/x
  3. Step 3: Cross multiply
    47,197,578.66x = 103,761,394.88 × 103,761,394.88
  4. Step 4: Simplify right side
    47,197,578.66x = 10,766,427,066,405,676
  5. Step 5: Solve for x
    x = 10,766,427,066,405,676/47,197,578.66
  6. Step 6: Final answer
    x = 228,113,970.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.