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Finding the Third Proportional to 93,982 and 202,635

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Solution

The third proportional to 93,982 and 202,635 is: 436,902.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,982 : 202,635 = 202,635 : x
  2. Step 2: Convert to fraction form
    93,982/202,635 = 202,635/x
  3. Step 3: Cross multiply
    93,982x = 202,635 × 202,635
  4. Step 4: Simplify right side
    93,982x = 41,060,943,225
  5. Step 5: Solve for x
    x = 41,060,943,225/93,982
  6. Step 6: Final answer
    x = 436,902.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.