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Finding the Third Proportional to 76,566,067 and 114,905,098.50

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Solution

The third proportional to 76,566,067 and 114,905,098.50 is: 172,441,685.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,566,067 : 114,905,098.50 = 114,905,098.50 : x
  2. Step 2: Convert to fraction form
    76,566,067/114,905,098.50 = 114,905,098.50/x
  3. Step 3: Cross multiply
    76,566,067x = 114,905,098.50 × 114,905,098.50
  4. Step 4: Simplify right side
    76,566,067x = 13,203,181,661,294,702
  5. Step 5: Solve for x
    x = 13,203,181,661,294,702/76,566,067
  6. Step 6: Final answer
    x = 172,441,685.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.