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Finding the Third Proportional to 51,818 and 110,986.50

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Solution

The third proportional to 51,818 and 110,986.50 is: 237,716.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,818 : 110,986.50 = 110,986.50 : x
  2. Step 2: Convert to fraction form
    51,818/110,986.50 = 110,986.50/x
  3. Step 3: Cross multiply
    51,818x = 110,986.50 × 110,986.50
  4. Step 4: Simplify right side
    51,818x = 12,318,003,182.25
  5. Step 5: Solve for x
    x = 12,318,003,182.25/51,818
  6. Step 6: Final answer
    x = 237,716.68

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.