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Finding the Third Proportional to 71,455,077 and 109,236,289

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Solution

The third proportional to 71,455,077 and 109,236,289 is: 166,993,967.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,455,077 : 109,236,289 = 109,236,289 : x
  2. Step 2: Convert to fraction form
    71,455,077/109,236,289 = 109,236,289/x
  3. Step 3: Cross multiply
    71,455,077x = 109,236,289 × 109,236,289
  4. Step 4: Simplify right side
    71,455,077x = 11,932,566,834,491,520
  5. Step 5: Solve for x
    x = 11,932,566,834,491,520/71,455,077
  6. Step 6: Final answer
    x = 166,993,967.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.