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Finding the Third Proportional to 67,824.21 and 99,776.18

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Solution

The third proportional to 67,824.21 and 99,776.18 is: 146,780.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,824.21 : 99,776.18 = 99,776.18 : x
  2. Step 2: Convert to fraction form
    67,824.21/99,776.18 = 99,776.18/x
  3. Step 3: Cross multiply
    67,824.21x = 99,776.18 × 99,776.18
  4. Step 4: Simplify right side
    67,824.21x = 9,955,286,033.03
  5. Step 5: Solve for x
    x = 9,955,286,033.03/67,824.21
  6. Step 6: Final answer
    x = 146,780.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.