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Finding the Third Proportional to 93,936 and 205,288

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Solution

The third proportional to 93,936 and 205,288 is: 448,636.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,936 : 205,288 = 205,288 : x
  2. Step 2: Convert to fraction form
    93,936/205,288 = 205,288/x
  3. Step 3: Cross multiply
    93,936x = 205,288 × 205,288
  4. Step 4: Simplify right side
    93,936x = 42,143,162,944
  5. Step 5: Solve for x
    x = 42,143,162,944/93,936
  6. Step 6: Final answer
    x = 448,636.98

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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.