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Finding the Third Proportional to 46,174 and 98,910

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Solution

The third proportional to 46,174 and 98,910 is: 211,876.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,174 : 98,910 = 98,910 : x
  2. Step 2: Convert to fraction form
    46,174/98,910 = 98,910/x
  3. Step 3: Cross multiply
    46,174x = 98,910 × 98,910
  4. Step 4: Simplify right side
    46,174x = 9,783,188,100
  5. Step 5: Solve for x
    x = 9,783,188,100/46,174
  6. Step 6: Final answer
    x = 211,876.56

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.