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Finding the Third Proportional to 93,928 and 195,614

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Solution

The third proportional to 93,928 and 195,614 is: 407,384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,928 : 195,614 = 195,614 : x
  2. Step 2: Convert to fraction form
    93,928/195,614 = 195,614/x
  3. Step 3: Cross multiply
    93,928x = 195,614 × 195,614
  4. Step 4: Simplify right side
    93,928x = 38,264,836,996
  5. Step 5: Solve for x
    x = 38,264,836,996/93,928
  6. Step 6: Final answer
    x = 407,384.77

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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.