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Finding the Third Proportional to 44,421.75 and 98,185.50

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Solution

The third proportional to 44,421.75 and 98,185.50 is: 217,019.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,421.75 : 98,185.50 = 98,185.50 : x
  2. Step 2: Convert to fraction form
    44,421.75/98,185.50 = 98,185.50/x
  3. Step 3: Cross multiply
    44,421.75x = 98,185.50 × 98,185.50
  4. Step 4: Simplify right side
    44,421.75x = 9,640,392,410.25
  5. Step 5: Solve for x
    x = 9,640,392,410.25/44,421.75
  6. Step 6: Final answer
    x = 217,019.64

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.