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Finding the Third Proportional to 104,596 and 216,104

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Solution

The third proportional to 104,596 and 216,104 is: 446,488.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,596 : 216,104 = 216,104 : x
  2. Step 2: Convert to fraction form
    104,596/216,104 = 216,104/x
  3. Step 3: Cross multiply
    104,596x = 216,104 × 216,104
  4. Step 4: Simplify right side
    104,596x = 46,700,938,816
  5. Step 5: Solve for x
    x = 46,700,938,816/104,596
  6. Step 6: Final answer
    x = 446,488.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.