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Finding the Third Proportional to 40,674.38 and 90,686.25

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Solution

The third proportional to 40,674.38 and 90,686.25 is: 202,191.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,674.38 : 90,686.25 = 90,686.25 : x
  2. Step 2: Convert to fraction form
    40,674.38/90,686.25 = 90,686.25/x
  3. Step 3: Cross multiply
    40,674.38x = 90,686.25 × 90,686.25
  4. Step 4: Simplify right side
    40,674.38x = 8,223,995,939.06
  5. Step 5: Solve for x
    x = 8,223,995,939.06/40,674.38
  6. Step 6: Final answer
    x = 202,191.08

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.