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Finding the Third Proportional to 40,983.47 and 89,568.28

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Solution

The third proportional to 40,983.47 and 89,568.28 is: 195,749.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,983.47 : 89,568.28 = 89,568.28 : x
  2. Step 2: Convert to fraction form
    40,983.47/89,568.28 = 89,568.28/x
  3. Step 3: Cross multiply
    40,983.47x = 89,568.28 × 89,568.28
  4. Step 4: Simplify right side
    40,983.47x = 8,022,477,006.08
  5. Step 5: Solve for x
    x = 8,022,477,006.08/40,983.47
  6. Step 6: Final answer
    x = 195,749.10

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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.