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Finding the Third Proportional to 76,650,556.50 and 114,947,687.25

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Solution

The third proportional to 76,650,556.50 and 114,947,687.25 is: 172,379,319.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,650,556.50 : 114,947,687.25 = 114,947,687.25 : x
  2. Step 2: Convert to fraction form
    76,650,556.50/114,947,687.25 = 114,947,687.25/x
  3. Step 3: Cross multiply
    76,650,556.50x = 114,947,687.25 × 114,947,687.25
  4. Step 4: Simplify right side
    76,650,556.50x = 13,212,970,804,123,812
  5. Step 5: Solve for x
    x = 13,212,970,804,123,812/76,650,556.50
  6. Step 6: Final answer
    x = 172,379,319.96

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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.