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Finding the Third Proportional to 93,355 and 204,851

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Solution

The third proportional to 93,355 and 204,851 is: 449,509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,355 : 204,851 = 204,851 : x
  2. Step 2: Convert to fraction form
    93,355/204,851 = 204,851/x
  3. Step 3: Cross multiply
    93,355x = 204,851 × 204,851
  4. Step 4: Simplify right side
    93,355x = 41,963,932,201
  5. Step 5: Solve for x
    x = 41,963,932,201/93,355
  6. Step 6: Final answer
    x = 449,509.21

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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.