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Finding the Third Proportional to 85,433.63 and 187,321.50

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Solution

The third proportional to 85,433.63 and 187,321.50 is: 410,720.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,433.63 : 187,321.50 = 187,321.50 : x
  2. Step 2: Convert to fraction form
    85,433.63/187,321.50 = 187,321.50/x
  3. Step 3: Cross multiply
    85,433.63x = 187,321.50 × 187,321.50
  4. Step 4: Simplify right side
    85,433.63x = 35,089,344,362.25
  5. Step 5: Solve for x
    x = 35,089,344,362.25/85,433.63
  6. Step 6: Final answer
    x = 410,720.54

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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.