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Finding the Third Proportional to 100,556.44 and 148,488.19

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Solution

The third proportional to 100,556.44 and 148,488.19 is: 219,267.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,556.44 : 148,488.19 = 148,488.19 : x
  2. Step 2: Convert to fraction form
    100,556.44/148,488.19 = 148,488.19/x
  3. Step 3: Cross multiply
    100,556.44x = 148,488.19 × 148,488.19
  4. Step 4: Simplify right side
    100,556.44x = 22,048,741,827.04
  5. Step 5: Solve for x
    x = 22,048,741,827.04/100,556.44
  6. Step 6: Final answer
    x = 219,267.33

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.