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Finding the Third Proportional to 46,144.85 and 100,830.52

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Solution

The third proportional to 46,144.85 and 100,830.52 is: 220,323.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,144.85 : 100,830.52 = 100,830.52 : x
  2. Step 2: Convert to fraction form
    46,144.85/100,830.52 = 100,830.52/x
  3. Step 3: Cross multiply
    46,144.85x = 100,830.52 × 100,830.52
  4. Step 4: Simplify right side
    46,144.85x = 10,166,794,653.61
  5. Step 5: Solve for x
    x = 10,166,794,653.61/46,144.85
  6. Step 6: Final answer
    x = 220,323.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.