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Finding the Third Proportional to 93,980 and 202,631

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Solution

The third proportional to 93,980 and 202,631 is: 436,894.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,980 : 202,631 = 202,631 : x
  2. Step 2: Convert to fraction form
    93,980/202,631 = 202,631/x
  3. Step 3: Cross multiply
    93,980x = 202,631 × 202,631
  4. Step 4: Simplify right side
    93,980x = 41,059,322,161
  5. Step 5: Solve for x
    x = 41,059,322,161/93,980
  6. Step 6: Final answer
    x = 436,894.26

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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.