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Finding the Third Proportional to 42,309.42 and 92,923.03

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Solution

The third proportional to 42,309.42 and 92,923.03 is: 204,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,309.42 : 92,923.03 = 92,923.03 : x
  2. Step 2: Convert to fraction form
    42,309.42/92,923.03 = 92,923.03/x
  3. Step 3: Cross multiply
    42,309.42x = 92,923.03 × 92,923.03
  4. Step 4: Simplify right side
    42,309.42x = 8,634,689,736.69
  5. Step 5: Solve for x
    x = 8,634,689,736.69/42,309.42
  6. Step 6: Final answer
    x = 204,084.32

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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.