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Finding the Third Proportional to 93,836 and 195,412

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Solution

The third proportional to 93,836 and 195,412 is: 406,942.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,836 : 195,412 = 195,412 : x
  2. Step 2: Convert to fraction form
    93,836/195,412 = 195,412/x
  3. Step 3: Cross multiply
    93,836x = 195,412 × 195,412
  4. Step 4: Simplify right side
    93,836x = 38,185,849,744
  5. Step 5: Solve for x
    x = 38,185,849,744/93,836
  6. Step 6: Final answer
    x = 406,942.43

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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.