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Finding the Third Proportional to 48,189.94 and 103,779.98

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Solution

The third proportional to 48,189.94 and 103,779.98 is: 223,496.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,189.94 : 103,779.98 = 103,779.98 : x
  2. Step 2: Convert to fraction form
    48,189.94/103,779.98 = 103,779.98/x
  3. Step 3: Cross multiply
    48,189.94x = 103,779.98 × 103,779.98
  4. Step 4: Simplify right side
    48,189.94x = 10,770,285,156.88
  5. Step 5: Solve for x
    x = 10,770,285,156.88/48,189.94
  6. Step 6: Final answer
    x = 223,496.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.