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Finding the Third Proportional to 93,775 and 205,337

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Solution

The third proportional to 93,775 and 205,337 is: 449,621.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,775 : 205,337 = 205,337 : x
  2. Step 2: Convert to fraction form
    93,775/205,337 = 205,337/x
  3. Step 3: Cross multiply
    93,775x = 205,337 × 205,337
  4. Step 4: Simplify right side
    93,775x = 42,163,283,569
  5. Step 5: Solve for x
    x = 42,163,283,569/93,775
  6. Step 6: Final answer
    x = 449,621.79

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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.