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Finding the Third Proportional to 46,135.83 and 100,609.59

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Solution

The third proportional to 46,135.83 and 100,609.59 is: 219,401.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,135.83 : 100,609.59 = 100,609.59 : x
  2. Step 2: Convert to fraction form
    46,135.83/100,609.59 = 100,609.59/x
  3. Step 3: Cross multiply
    46,135.83x = 100,609.59 × 100,609.59
  4. Step 4: Simplify right side
    46,135.83x = 10,122,290,354.54
  5. Step 5: Solve for x
    x = 10,122,290,354.54/46,135.83
  6. Step 6: Final answer
    x = 219,401.94

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1.5x scale

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.