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Finding the Third Proportional to 100,746 and 220,596

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Solution

The third proportional to 100,746 and 220,596 is: 483,022.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,746 : 220,596 = 220,596 : x
  2. Step 2: Convert to fraction form
    100,746/220,596 = 220,596/x
  3. Step 3: Cross multiply
    100,746x = 220,596 × 220,596
  4. Step 4: Simplify right side
    100,746x = 48,662,595,216
  5. Step 5: Solve for x
    x = 48,662,595,216/100,746
  6. Step 6: Final answer
    x = 483,022.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.