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Finding the Third Proportional to 40,777.17 and 89,832.16

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Solution

The third proportional to 40,777.17 and 89,832.16 is: 197,900.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,777.17 : 89,832.16 = 89,832.16 : x
  2. Step 2: Convert to fraction form
    40,777.17/89,832.16 = 89,832.16/x
  3. Step 3: Cross multiply
    40,777.17x = 89,832.16 × 89,832.16
  4. Step 4: Simplify right side
    40,777.17x = 8,069,817,700.15
  5. Step 5: Solve for x
    x = 8,069,817,700.15/40,777.17
  6. Step 6: Final answer
    x = 197,900.38

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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.