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Finding the Third Proportional to 93,714 and 195,206

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Solution

The third proportional to 93,714 and 195,206 is: 406,613.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,714 : 195,206 = 195,206 : x
  2. Step 2: Convert to fraction form
    93,714/195,206 = 195,206/x
  3. Step 3: Cross multiply
    93,714x = 195,206 × 195,206
  4. Step 4: Simplify right side
    93,714x = 38,105,382,436
  5. Step 5: Solve for x
    x = 38,105,382,436/93,714
  6. Step 6: Final answer
    x = 406,613.55

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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.