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Finding the Third Proportional to 93,815 and 204,152

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Solution

The third proportional to 93,815 and 204,152 is: 444,257.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,815 : 204,152 = 204,152 : x
  2. Step 2: Convert to fraction form
    93,815/204,152 = 204,152/x
  3. Step 3: Cross multiply
    93,815x = 204,152 × 204,152
  4. Step 4: Simplify right side
    93,815x = 41,678,039,104
  5. Step 5: Solve for x
    x = 41,678,039,104/93,815
  6. Step 6: Final answer
    x = 444,257.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.