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Finding the Third Proportional to 40,884.75 and 89,803.69

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Solution

The third proportional to 40,884.75 and 89,803.69 is: 197,254.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,884.75 : 89,803.69 = 89,803.69 : x
  2. Step 2: Convert to fraction form
    40,884.75/89,803.69 = 89,803.69/x
  3. Step 3: Cross multiply
    40,884.75x = 89,803.69 × 89,803.69
  4. Step 4: Simplify right side
    40,884.75x = 8,064,702,288.60
  5. Step 5: Solve for x
    x = 8,064,702,288.60/40,884.75
  6. Step 6: Final answer
    x = 197,254.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.