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Finding the Third Proportional to 46,698.71 and 100,200.48

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Solution

The third proportional to 46,698.71 and 100,200.48 is: 214,998.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,698.71 : 100,200.48 = 100,200.48 : x
  2. Step 2: Convert to fraction form
    46,698.71/100,200.48 = 100,200.48/x
  3. Step 3: Cross multiply
    46,698.71x = 100,200.48 × 100,200.48
  4. Step 4: Simplify right side
    46,698.71x = 10,040,136,286.17
  5. Step 5: Solve for x
    x = 10,040,136,286.17/46,698.71
  6. Step 6: Final answer
    x = 214,998.13

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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.