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Finding the Third Proportional to 40,206.38 and 88,340.63

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Solution

The third proportional to 40,206.38 and 88,340.63 is: 194,100.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,206.38 : 88,340.63 = 88,340.63 : x
  2. Step 2: Convert to fraction form
    40,206.38/88,340.63 = 88,340.63/x
  3. Step 3: Cross multiply
    40,206.38x = 88,340.63 × 88,340.63
  4. Step 4: Simplify right side
    40,206.38x = 7,804,066,025.39
  5. Step 5: Solve for x
    x = 7,804,066,025.39/40,206.38
  6. Step 6: Final answer
    x = 194,100.21

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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.