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Finding the Third Proportional to 93,937 and 195,637

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Solution

The third proportional to 93,937 and 195,637 is: 407,441.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,937 : 195,637 = 195,637 : x
  2. Step 2: Convert to fraction form
    93,937/195,637 = 195,637/x
  3. Step 3: Cross multiply
    93,937x = 195,637 × 195,637
  4. Step 4: Simplify right side
    93,937x = 38,273,835,769
  5. Step 5: Solve for x
    x = 38,273,835,769/93,937
  6. Step 6: Final answer
    x = 407,441.54

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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.