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Finding the Third Proportional to 46,074.75 and 100,486.50

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Solution

The third proportional to 46,074.75 and 100,486.50 is: 219,155.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,074.75 : 100,486.50 = 100,486.50 : x
  2. Step 2: Convert to fraction form
    46,074.75/100,486.50 = 100,486.50/x
  3. Step 3: Cross multiply
    46,074.75x = 100,486.50 × 100,486.50
  4. Step 4: Simplify right side
    46,074.75x = 10,097,536,682.25
  5. Step 5: Solve for x
    x = 10,097,536,682.25/46,074.75
  6. Step 6: Final answer
    x = 219,155.54

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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.