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Finding the Third Proportional to 46,904 and 98,668

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Solution

The third proportional to 46,904 and 98,668 is: 207,559.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,904 : 98,668 = 98,668 : x
  2. Step 2: Convert to fraction form
    46,904/98,668 = 98,668/x
  3. Step 3: Cross multiply
    46,904x = 98,668 × 98,668
  4. Step 4: Simplify right side
    46,904x = 9,735,374,224
  5. Step 5: Solve for x
    x = 9,735,374,224/46,904
  6. Step 6: Final answer
    x = 207,559.57

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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.