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Finding the Third Proportional to 50,318.25 and 107,683.50

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Solution

The third proportional to 50,318.25 and 107,683.50 is: 230,447.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,318.25 : 107,683.50 = 107,683.50 : x
  2. Step 2: Convert to fraction form
    50,318.25/107,683.50 = 107,683.50/x
  3. Step 3: Cross multiply
    50,318.25x = 107,683.50 × 107,683.50
  4. Step 4: Simplify right side
    50,318.25x = 11,595,736,172.25
  5. Step 5: Solve for x
    x = 11,595,736,172.25/50,318.25
  6. Step 6: Final answer
    x = 230,447.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.