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Finding the Third Proportional to 106,986 and 225,907.50

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Solution

The third proportional to 106,986 and 225,907.50 is: 477,017.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,986 : 225,907.50 = 225,907.50 : x
  2. Step 2: Convert to fraction form
    106,986/225,907.50 = 225,907.50/x
  3. Step 3: Cross multiply
    106,986x = 225,907.50 × 225,907.50
  4. Step 4: Simplify right side
    106,986x = 51,034,198,556.25
  5. Step 5: Solve for x
    x = 51,034,198,556.25/106,986
  6. Step 6: Final answer
    x = 477,017.54

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.