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Finding the Third Proportional to 46,425.75 and 97,838.25

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Solution

The third proportional to 46,425.75 and 97,838.25 is: 206,185.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,425.75 : 97,838.25 = 97,838.25 : x
  2. Step 2: Convert to fraction form
    46,425.75/97,838.25 = 97,838.25/x
  3. Step 3: Cross multiply
    46,425.75x = 97,838.25 × 97,838.25
  4. Step 4: Simplify right side
    46,425.75x = 9,572,323,163.06
  5. Step 5: Solve for x
    x = 9,572,323,163.06/46,425.75
  6. Step 6: Final answer
    x = 206,185.64

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.