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Finding the Third Proportional to 92,483 and 202,088

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Solution

The third proportional to 92,483 and 202,088 is: 441,589.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,483 : 202,088 = 202,088 : x
  2. Step 2: Convert to fraction form
    92,483/202,088 = 202,088/x
  3. Step 3: Cross multiply
    92,483x = 202,088 × 202,088
  4. Step 4: Simplify right side
    92,483x = 40,839,559,744
  5. Step 5: Solve for x
    x = 40,839,559,744/92,483
  6. Step 6: Final answer
    x = 441,589.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.