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Finding the Third Proportional to 99,414 and 150,568.88

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Solution

The third proportional to 99,414 and 150,568.88 is: 228,046.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,414 : 150,568.88 = 150,568.88 : x
  2. Step 2: Convert to fraction form
    99,414/150,568.88 = 150,568.88/x
  3. Step 3: Cross multiply
    99,414x = 150,568.88 × 150,568.88
  4. Step 4: Simplify right side
    99,414x = 22,670,986,118.77
  5. Step 5: Solve for x
    x = 22,670,986,118.77/99,414
  6. Step 6: Final answer
    x = 228,046.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.