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Finding the Third Proportional to 104,316 and 213,589.50

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Solution

The third proportional to 104,316 and 213,589.50 is: 437,329.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,316 : 213,589.50 = 213,589.50 : x
  2. Step 2: Convert to fraction form
    104,316/213,589.50 = 213,589.50/x
  3. Step 3: Cross multiply
    104,316x = 213,589.50 × 213,589.50
  4. Step 4: Simplify right side
    104,316x = 45,620,474,510.25
  5. Step 5: Solve for x
    x = 45,620,474,510.25/104,316
  6. Step 6: Final answer
    x = 437,329.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.