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Finding the Third Proportional to 40,713.89 and 89,708.77

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Solution

The third proportional to 40,713.89 and 89,708.77 is: 197,663.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,713.89 : 89,708.77 = 89,708.77 : x
  2. Step 2: Convert to fraction form
    40,713.89/89,708.77 = 89,708.77/x
  3. Step 3: Cross multiply
    40,713.89x = 89,708.77 × 89,708.77
  4. Step 4: Simplify right side
    40,713.89x = 8,047,662,629.96
  5. Step 5: Solve for x
    x = 8,047,662,629.96/40,713.89
  6. Step 6: Final answer
    x = 197,663.81

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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.