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Finding the Third Proportional to 46,967.06 and 96,234.19

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Solution

The third proportional to 46,967.06 and 96,234.19 is: 197,181.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,967.06 : 96,234.19 = 96,234.19 : x
  2. Step 2: Convert to fraction form
    46,967.06/96,234.19 = 96,234.19/x
  3. Step 3: Cross multiply
    46,967.06x = 96,234.19 × 96,234.19
  4. Step 4: Simplify right side
    46,967.06x = 9,261,018,843.79
  5. Step 5: Solve for x
    x = 9,261,018,843.79/46,967.06
  6. Step 6: Final answer
    x = 197,181.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.