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Finding the Third Proportional to 46,661.70 and 100,246.04

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Solution

The third proportional to 46,661.70 and 100,246.04 is: 215,364.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,661.70 : 100,246.04 = 100,246.04 : x
  2. Step 2: Convert to fraction form
    46,661.70/100,246.04 = 100,246.04/x
  3. Step 3: Cross multiply
    46,661.70x = 100,246.04 × 100,246.04
  4. Step 4: Simplify right side
    46,661.70x = 10,049,269,130.89
  5. Step 5: Solve for x
    x = 10,049,269,130.89/46,661.70
  6. Step 6: Final answer
    x = 215,364.42

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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.