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Finding the Third Proportional to 77,161,077 and 164,933,964

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Solution

The third proportional to 77,161,077 and 164,933,964 is: 352,550,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,161,077 : 164,933,964 = 164,933,964 : x
  2. Step 2: Convert to fraction form
    77,161,077/164,933,964 = 164,933,964/x
  3. Step 3: Cross multiply
    77,161,077x = 164,933,964 × 164,933,964
  4. Step 4: Simplify right side
    77,161,077x = 27,203,212,480,753,296
  5. Step 5: Solve for x
    x = 27,203,212,480,753,296/77,161,077
  6. Step 6: Final answer
    x = 352,550,969.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.