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Finding the Third Proportional to 45,222.75 and 98,480.25

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Solution

The third proportional to 45,222.75 and 98,480.25 is: 214,457.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,222.75 : 98,480.25 = 98,480.25 : x
  2. Step 2: Convert to fraction form
    45,222.75/98,480.25 = 98,480.25/x
  3. Step 3: Cross multiply
    45,222.75x = 98,480.25 × 98,480.25
  4. Step 4: Simplify right side
    45,222.75x = 9,698,359,640.06
  5. Step 5: Solve for x
    x = 9,698,359,640.06/45,222.75
  6. Step 6: Final answer
    x = 214,457.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.