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Finding the Third Proportional to 42,532.17 and 92,846.67

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Solution

The third proportional to 42,532.17 and 92,846.67 is: 202,681.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,532.17 : 92,846.67 = 92,846.67 : x
  2. Step 2: Convert to fraction form
    42,532.17/92,846.67 = 92,846.67/x
  3. Step 3: Cross multiply
    42,532.17x = 92,846.67 × 92,846.67
  4. Step 4: Simplify right side
    42,532.17x = 8,620,504,478.26
  5. Step 5: Solve for x
    x = 8,620,504,478.26/42,532.17
  6. Step 6: Final answer
    x = 202,681.97

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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.