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Finding the Third Proportional to 192,903.19 and 412,404.75

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Solution

The third proportional to 192,903.19 and 412,404.75 is: 881,673.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,903.19 : 412,404.75 = 412,404.75 : x
  2. Step 2: Convert to fraction form
    192,903.19/412,404.75 = 412,404.75/x
  3. Step 3: Cross multiply
    192,903.19x = 412,404.75 × 412,404.75
  4. Step 4: Simplify right side
    192,903.19x = 170,077,677,822.56
  5. Step 5: Solve for x
    x = 170,077,677,822.56/192,903.19
  6. Step 6: Final answer
    x = 881,673.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.