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Finding the Third Proportional to 93,850 and 195,440

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Solution

The third proportional to 93,850 and 195,440 is: 406,998.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,850 : 195,440 = 195,440 : x
  2. Step 2: Convert to fraction form
    93,850/195,440 = 195,440/x
  3. Step 3: Cross multiply
    93,850x = 195,440 × 195,440
  4. Step 4: Simplify right side
    93,850x = 38,196,793,600
  5. Step 5: Solve for x
    x = 38,196,793,600/93,850
  6. Step 6: Final answer
    x = 406,998.33

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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.