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Finding the Third Proportional to 103,284.49 and 215,846.65

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Solution

The third proportional to 103,284.49 and 215,846.65 is: 451,082.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,284.49 : 215,846.65 = 215,846.65 : x
  2. Step 2: Convert to fraction form
    103,284.49/215,846.65 = 215,846.65/x
  3. Step 3: Cross multiply
    103,284.49x = 215,846.65 × 215,846.65
  4. Step 4: Simplify right side
    103,284.49x = 46,589,775,641.70
  5. Step 5: Solve for x
    x = 46,589,775,641.70/103,284.49
  6. Step 6: Final answer
    x = 451,082.00

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.