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Finding the Third Proportional to 91,683 and 193,320

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Solution

The third proportional to 91,683 and 193,320 is: 407,628.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,683 : 193,320 = 193,320 : x
  2. Step 2: Convert to fraction form
    91,683/193,320 = 193,320/x
  3. Step 3: Cross multiply
    91,683x = 193,320 × 193,320
  4. Step 4: Simplify right side
    91,683x = 37,372,622,400
  5. Step 5: Solve for x
    x = 37,372,622,400/91,683
  6. Step 6: Final answer
    x = 407,628.70

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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.