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Finding the Third Proportional to 98,984.53 and 213,733.69

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Solution

The third proportional to 98,984.53 and 213,733.69 is: 461,507.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,984.53 : 213,733.69 = 213,733.69 : x
  2. Step 2: Convert to fraction form
    98,984.53/213,733.69 = 213,733.69/x
  3. Step 3: Cross multiply
    98,984.53x = 213,733.69 × 213,733.69
  4. Step 4: Simplify right side
    98,984.53x = 45,682,089,172.35
  5. Step 5: Solve for x
    x = 45,682,089,172.35/98,984.53
  6. Step 6: Final answer
    x = 461,507.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.