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Finding the Third Proportional to 100,962 and 212,304.75

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Solution

The third proportional to 100,962 and 212,304.75 is: 446,438.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,962 : 212,304.75 = 212,304.75 : x
  2. Step 2: Convert to fraction form
    100,962/212,304.75 = 212,304.75/x
  3. Step 3: Cross multiply
    100,962x = 212,304.75 × 212,304.75
  4. Step 4: Simplify right side
    100,962x = 45,073,306,872.56
  5. Step 5: Solve for x
    x = 45,073,306,872.56/100,962
  6. Step 6: Final answer
    x = 446,438.33

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.