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Finding the Third Proportional to 46,144.69 and 98,025.19

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Solution

The third proportional to 46,144.69 and 98,025.19 is: 208,234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,144.69 : 98,025.19 = 98,025.19 : x
  2. Step 2: Convert to fraction form
    46,144.69/98,025.19 = 98,025.19/x
  3. Step 3: Cross multiply
    46,144.69x = 98,025.19 × 98,025.19
  4. Step 4: Simplify right side
    46,144.69x = 9,608,937,384.41
  5. Step 5: Solve for x
    x = 9,608,937,384.41/46,144.69
  6. Step 6: Final answer
    x = 208,234.96

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.