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Finding the Third Proportional to 46,055 and 100,219.50

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Solution

The third proportional to 46,055 and 100,219.50 is: 218,085.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,055 : 100,219.50 = 100,219.50 : x
  2. Step 2: Convert to fraction form
    46,055/100,219.50 = 100,219.50/x
  3. Step 3: Cross multiply
    46,055x = 100,219.50 × 100,219.50
  4. Step 4: Simplify right side
    46,055x = 10,043,948,180.25
  5. Step 5: Solve for x
    x = 10,043,948,180.25/46,055
  6. Step 6: Final answer
    x = 218,085.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.