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Finding the Third Proportional to 99,556.50 and 218,796

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Solution

The third proportional to 99,556.50 and 218,796 is: 480,849.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,556.50 : 218,796 = 218,796 : x
  2. Step 2: Convert to fraction form
    99,556.50/218,796 = 218,796/x
  3. Step 3: Cross multiply
    99,556.50x = 218,796 × 218,796
  4. Step 4: Simplify right side
    99,556.50x = 47,871,689,616
  5. Step 5: Solve for x
    x = 47,871,689,616/99,556.50
  6. Step 6: Final answer
    x = 480,849.46

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.