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Finding the Third Proportional to 91,805.06 and 194,631.19

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Solution

The third proportional to 91,805.06 and 194,631.19 is: 412,627.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,805.06 : 194,631.19 = 194,631.19 : x
  2. Step 2: Convert to fraction form
    91,805.06/194,631.19 = 194,631.19/x
  3. Step 3: Cross multiply
    91,805.06x = 194,631.19 × 194,631.19
  4. Step 4: Simplify right side
    91,805.06x = 37,881,299,147.66
  5. Step 5: Solve for x
    x = 37,881,299,147.66/91,805.06
  6. Step 6: Final answer
    x = 412,627.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.