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Finding the Third Proportional to 100,764 and 219,948.75

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Solution

The third proportional to 100,764 and 219,948.75 is: 480,106.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,764 : 219,948.75 = 219,948.75 : x
  2. Step 2: Convert to fraction form
    100,764/219,948.75 = 219,948.75/x
  3. Step 3: Cross multiply
    100,764x = 219,948.75 × 219,948.75
  4. Step 4: Simplify right side
    100,764x = 48,377,452,626.56
  5. Step 5: Solve for x
    x = 48,377,452,626.56/100,764
  6. Step 6: Final answer
    x = 480,106.51

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Why These Related Problems?

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