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Finding the Third Proportional to 92,483 and 202,089

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Solution

The third proportional to 92,483 and 202,089 is: 441,594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,483 : 202,089 = 202,089 : x
  2. Step 2: Convert to fraction form
    92,483/202,089 = 202,089/x
  3. Step 3: Cross multiply
    92,483x = 202,089 × 202,089
  4. Step 4: Simplify right side
    92,483x = 40,839,963,921
  5. Step 5: Solve for x
    x = 40,839,963,921/92,483
  6. Step 6: Final answer
    x = 441,594.28

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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.