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Finding the Third Proportional to 193,902.19 and 418,938.75

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Solution

The third proportional to 193,902.19 and 418,938.75 is: 905,145.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,902.19 : 418,938.75 = 418,938.75 : x
  2. Step 2: Convert to fraction form
    193,902.19/418,938.75 = 418,938.75/x
  3. Step 3: Cross multiply
    193,902.19x = 418,938.75 × 418,938.75
  4. Step 4: Simplify right side
    193,902.19x = 175,509,676,251.56
  5. Step 5: Solve for x
    x = 175,509,676,251.56/193,902.19
  6. Step 6: Final answer
    x = 905,145.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.