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Finding the Third Proportional to 121,086 and 188,986.50

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Solution

The third proportional to 121,086 and 188,986.50 is: 294,963.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,086 : 188,986.50 = 188,986.50 : x
  2. Step 2: Convert to fraction form
    121,086/188,986.50 = 188,986.50/x
  3. Step 3: Cross multiply
    121,086x = 188,986.50 × 188,986.50
  4. Step 4: Simplify right side
    121,086x = 35,715,897,182.25
  5. Step 5: Solve for x
    x = 35,715,897,182.25/121,086
  6. Step 6: Final answer
    x = 294,963.06

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.