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Finding the Third Proportional to 46,166.44 and 99,228.84

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Solution

The third proportional to 46,166.44 and 99,228.84 is: 213,279.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,166.44 : 99,228.84 = 99,228.84 : x
  2. Step 2: Convert to fraction form
    46,166.44/99,228.84 = 99,228.84/x
  3. Step 3: Cross multiply
    46,166.44x = 99,228.84 × 99,228.84
  4. Step 4: Simplify right side
    46,166.44x = 9,846,363,431.96
  5. Step 5: Solve for x
    x = 9,846,363,431.96/46,166.44
  6. Step 6: Final answer
    x = 213,279.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.