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Finding the Third Proportional to 100,770.50 and 219,685

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Solution

The third proportional to 100,770.50 and 219,685 is: 478,924.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,770.50 : 219,685 = 219,685 : x
  2. Step 2: Convert to fraction form
    100,770.50/219,685 = 219,685/x
  3. Step 3: Cross multiply
    100,770.50x = 219,685 × 219,685
  4. Step 4: Simplify right side
    100,770.50x = 48,261,499,225
  5. Step 5: Solve for x
    x = 48,261,499,225/100,770.50
  6. Step 6: Final answer
    x = 478,924.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.