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Finding the Third Proportional to 98,772.75 and 218,900.25

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Solution

The third proportional to 98,772.75 and 218,900.25 is: 485,126.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,772.75 : 218,900.25 = 218,900.25 : x
  2. Step 2: Convert to fraction form
    98,772.75/218,900.25 = 218,900.25/x
  3. Step 3: Cross multiply
    98,772.75x = 218,900.25 × 218,900.25
  4. Step 4: Simplify right side
    98,772.75x = 47,917,319,450.06
  5. Step 5: Solve for x
    x = 47,917,319,450.06/98,772.75
  6. Step 6: Final answer
    x = 485,126.91

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.