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Finding the Third Proportional to 45,849.75 and 100,447.50

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Solution

The third proportional to 45,849.75 and 100,447.50 is: 220,060.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,849.75 : 100,447.50 = 100,447.50 : x
  2. Step 2: Convert to fraction form
    45,849.75/100,447.50 = 100,447.50/x
  3. Step 3: Cross multiply
    45,849.75x = 100,447.50 × 100,447.50
  4. Step 4: Simplify right side
    45,849.75x = 10,089,700,256.25
  5. Step 5: Solve for x
    x = 10,089,700,256.25/45,849.75
  6. Step 6: Final answer
    x = 220,060.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.