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Finding the Third Proportional to 93,483 and 202,823

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Solution

The third proportional to 93,483 and 202,823 is: 440,049.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,483 : 202,823 = 202,823 : x
  2. Step 2: Convert to fraction form
    93,483/202,823 = 202,823/x
  3. Step 3: Cross multiply
    93,483x = 202,823 × 202,823
  4. Step 4: Simplify right side
    93,483x = 41,137,169,329
  5. Step 5: Solve for x
    x = 41,137,169,329/93,483
  6. Step 6: Final answer
    x = 440,049.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.