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Finding the Third Proportional to 93,617 and 203,893

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Solution

The third proportional to 93,617 and 203,893 is: 444,068.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,617 : 203,893 = 203,893 : x
  2. Step 2: Convert to fraction form
    93,617/203,893 = 203,893/x
  3. Step 3: Cross multiply
    93,617x = 203,893 × 203,893
  4. Step 4: Simplify right side
    93,617x = 41,572,355,449
  5. Step 5: Solve for x
    x = 41,572,355,449/93,617
  6. Step 6: Final answer
    x = 444,068.44

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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.