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Finding the Third Proportional to 93,857.13 and 194,367.88

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Solution

The third proportional to 93,857.13 and 194,367.88 is: 402,514.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,857.13 : 194,367.88 = 194,367.88 : x
  2. Step 2: Convert to fraction form
    93,857.13/194,367.88 = 194,367.88/x
  3. Step 3: Cross multiply
    93,857.13x = 194,367.88 × 194,367.88
  4. Step 4: Simplify right side
    93,857.13x = 37,778,870,832.02
  5. Step 5: Solve for x
    x = 37,778,870,832.02/93,857.13
  6. Step 6: Final answer
    x = 402,514.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.