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Finding the Third Proportional to 98,759.25 and 213,475.50

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Solution

The third proportional to 98,759.25 and 213,475.50 is: 461,443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,759.25 : 213,475.50 = 213,475.50 : x
  2. Step 2: Convert to fraction form
    98,759.25/213,475.50 = 213,475.50/x
  3. Step 3: Cross multiply
    98,759.25x = 213,475.50 × 213,475.50
  4. Step 4: Simplify right side
    98,759.25x = 45,571,789,100.25
  5. Step 5: Solve for x
    x = 45,571,789,100.25/98,759.25
  6. Step 6: Final answer
    x = 461,443.25

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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.