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Finding the Third Proportional to 99,718.50 and 218,211

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Solution

The third proportional to 99,718.50 and 218,211 is: 477,504.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,718.50 : 218,211 = 218,211 : x
  2. Step 2: Convert to fraction form
    99,718.50/218,211 = 218,211/x
  3. Step 3: Cross multiply
    99,718.50x = 218,211 × 218,211
  4. Step 4: Simplify right side
    99,718.50x = 47,616,040,521
  5. Step 5: Solve for x
    x = 47,616,040,521/99,718.50
  6. Step 6: Final answer
    x = 477,504.58

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.