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Finding the Third Proportional to 46,024 and 96,696

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Solution

The third proportional to 46,024 and 96,696 is: 203,157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,024 : 96,696 = 96,696 : x
  2. Step 2: Convert to fraction form
    46,024/96,696 = 96,696/x
  3. Step 3: Cross multiply
    46,024x = 96,696 × 96,696
  4. Step 4: Simplify right side
    46,024x = 9,350,116,416
  5. Step 5: Solve for x
    x = 9,350,116,416/46,024
  6. Step 6: Final answer
    x = 203,157.41

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.