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Finding the Third Proportional to 93,998.25 and 195,743.25

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Solution

The third proportional to 93,998.25 and 195,743.25 is: 407,618.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,998.25 : 195,743.25 = 195,743.25 : x
  2. Step 2: Convert to fraction form
    93,998.25/195,743.25 = 195,743.25/x
  3. Step 3: Cross multiply
    93,998.25x = 195,743.25 × 195,743.25
  4. Step 4: Simplify right side
    93,998.25x = 38,315,419,920.56
  5. Step 5: Solve for x
    x = 38,315,419,920.56/93,998.25
  6. Step 6: Final answer
    x = 407,618.44

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1.5x scale

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.