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Finding the Third Proportional to 199,065.75 and 433,121.63

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Solution

The third proportional to 199,065.75 and 433,121.63 is: 942,373.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,065.75 : 433,121.63 = 433,121.63 : x
  2. Step 2: Convert to fraction form
    199,065.75/433,121.63 = 433,121.63/x
  3. Step 3: Cross multiply
    199,065.75x = 433,121.63 × 433,121.63
  4. Step 4: Simplify right side
    199,065.75x = 187,594,342,042.64
  5. Step 5: Solve for x
    x = 187,594,342,042.64/199,065.75
  6. Step 6: Final answer
    x = 942,373.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.