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Finding the Third Proportional to 93,852 and 195,444

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Solution

The third proportional to 93,852 and 195,444 is: 407,006.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,852 : 195,444 = 195,444 : x
  2. Step 2: Convert to fraction form
    93,852/195,444 = 195,444/x
  3. Step 3: Cross multiply
    93,852x = 195,444 × 195,444
  4. Step 4: Simplify right side
    93,852x = 38,198,357,136
  5. Step 5: Solve for x
    x = 38,198,357,136/93,852
  6. Step 6: Final answer
    x = 407,006.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.