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Finding the Third Proportional to 46,698.75 and 101,335.50

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Solution

The third proportional to 46,698.75 and 101,335.50 is: 219,896.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,698.75 : 101,335.50 = 101,335.50 : x
  2. Step 2: Convert to fraction form
    46,698.75/101,335.50 = 101,335.50/x
  3. Step 3: Cross multiply
    46,698.75x = 101,335.50 × 101,335.50
  4. Step 4: Simplify right side
    46,698.75x = 10,268,883,560.25
  5. Step 5: Solve for x
    x = 10,268,883,560.25/46,698.75
  6. Step 6: Final answer
    x = 219,896.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.