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Finding the Third Proportional to 82,964,704 and 119,505,408

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Solution

The third proportional to 82,964,704 and 119,505,408 is: 172,139,980.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,964,704 : 119,505,408 = 119,505,408 : x
  2. Step 2: Convert to fraction form
    82,964,704/119,505,408 = 119,505,408/x
  3. Step 3: Cross multiply
    82,964,704x = 119,505,408 × 119,505,408
  4. Step 4: Simplify right side
    82,964,704x = 14,281,542,541,246,464
  5. Step 5: Solve for x
    x = 14,281,542,541,246,464/82,964,704
  6. Step 6: Final answer
    x = 172,139,980.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.