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Finding the Third Proportional to 93,980.25 and 194,187.38

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Solution

The third proportional to 93,980.25 and 194,187.38 is: 401,241.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,980.25 : 194,187.38 = 194,187.38 : x
  2. Step 2: Convert to fraction form
    93,980.25/194,187.38 = 194,187.38/x
  3. Step 3: Cross multiply
    93,980.25x = 194,187.38 × 194,187.38
  4. Step 4: Simplify right side
    93,980.25x = 37,708,736,609.39
  5. Step 5: Solve for x
    x = 37,708,736,609.39/93,980.25
  6. Step 6: Final answer
    x = 401,241.08

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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.