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Finding the Third Proportional to 107,947 and 150,951.50

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Solution

The third proportional to 107,947 and 150,951.50 is: 211,088.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,947 : 150,951.50 = 150,951.50 : x
  2. Step 2: Convert to fraction form
    107,947/150,951.50 = 150,951.50/x
  3. Step 3: Cross multiply
    107,947x = 150,951.50 × 150,951.50
  4. Step 4: Simplify right side
    107,947x = 22,786,355,352.25
  5. Step 5: Solve for x
    x = 22,786,355,352.25/107,947
  6. Step 6: Final answer
    x = 211,088.36

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.