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Finding the Third Proportional to 93,884 and 200,104

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Solution

The third proportional to 93,884 and 200,104 is: 426,500.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,884 : 200,104 = 200,104 : x
  2. Step 2: Convert to fraction form
    93,884/200,104 = 200,104/x
  3. Step 3: Cross multiply
    93,884x = 200,104 × 200,104
  4. Step 4: Simplify right side
    93,884x = 40,041,610,816
  5. Step 5: Solve for x
    x = 40,041,610,816/93,884
  6. Step 6: Final answer
    x = 426,500.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.