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Finding the Third Proportional to 93,364 and 204,869

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Solution

The third proportional to 93,364 and 204,869 is: 449,544.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,364 : 204,869 = 204,869 : x
  2. Step 2: Convert to fraction form
    93,364/204,869 = 204,869/x
  3. Step 3: Cross multiply
    93,364x = 204,869 × 204,869
  4. Step 4: Simplify right side
    93,364x = 41,971,307,161
  5. Step 5: Solve for x
    x = 41,971,307,161/93,364
  6. Step 6: Final answer
    x = 449,544.87

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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.