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Finding the Third Proportional to 42,546.09 and 92,882.53

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Solution

The third proportional to 42,546.09 and 92,882.53 is: 202,772.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,546.09 : 92,882.53 = 92,882.53 : x
  2. Step 2: Convert to fraction form
    42,546.09/92,882.53 = 92,882.53/x
  3. Step 3: Cross multiply
    42,546.09x = 92,882.53 × 92,882.53
  4. Step 4: Simplify right side
    42,546.09x = 8,627,164,611.41
  5. Step 5: Solve for x
    x = 8,627,164,611.41/42,546.09
  6. Step 6: Final answer
    x = 202,772.19

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.