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Finding the Third Proportional to 99,577 and 218,846

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Solution

The third proportional to 99,577 and 218,846 is: 480,970.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,577 : 218,846 = 218,846 : x
  2. Step 2: Convert to fraction form
    99,577/218,846 = 218,846/x
  3. Step 3: Cross multiply
    99,577x = 218,846 × 218,846
  4. Step 4: Simplify right side
    99,577x = 47,893,571,716
  5. Step 5: Solve for x
    x = 47,893,571,716/99,577
  6. Step 6: Final answer
    x = 480,970.22

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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.