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Finding the Third Proportional to 93,886 and 195,566

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Solution

The third proportional to 93,886 and 195,566 is: 407,367.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,886 : 195,566 = 195,566 : x
  2. Step 2: Convert to fraction form
    93,886/195,566 = 195,566/x
  3. Step 3: Cross multiply
    93,886x = 195,566 × 195,566
  4. Step 4: Simplify right side
    93,886x = 38,246,060,356
  5. Step 5: Solve for x
    x = 38,246,060,356/93,886
  6. Step 6: Final answer
    x = 407,367.02

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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.