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Finding the Third Proportional to 91,683 and 191,688.75

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Solution

The third proportional to 91,683 and 191,688.75 is: 400,778.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,683 : 191,688.75 = 191,688.75 : x
  2. Step 2: Convert to fraction form
    91,683/191,688.75 = 191,688.75/x
  3. Step 3: Cross multiply
    91,683x = 191,688.75 × 191,688.75
  4. Step 4: Simplify right side
    91,683x = 36,744,576,876.56
  5. Step 5: Solve for x
    x = 36,744,576,876.56/91,683
  6. Step 6: Final answer
    x = 400,778.52

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.