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Finding the Third Proportional to 91,683.14 and 193,344.47

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Solution

The third proportional to 91,683.14 and 193,344.47 is: 407,731.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,683.14 : 193,344.47 = 193,344.47 : x
  2. Step 2: Convert to fraction form
    91,683.14/193,344.47 = 193,344.47/x
  3. Step 3: Cross multiply
    91,683.14x = 193,344.47 × 193,344.47
  4. Step 4: Simplify right side
    91,683.14x = 37,382,083,596.22
  5. Step 5: Solve for x
    x = 37,382,083,596.22/91,683.14
  6. Step 6: Final answer
    x = 407,731.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.