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Finding the Third Proportional to 69,884.25 and 150,833.63

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Solution

The third proportional to 69,884.25 and 150,833.63 is: 325,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,884.25 : 150,833.63 = 150,833.63 : x
  2. Step 2: Convert to fraction form
    69,884.25/150,833.63 = 150,833.63/x
  3. Step 3: Cross multiply
    69,884.25x = 150,833.63 × 150,833.63
  4. Step 4: Simplify right side
    69,884.25x = 22,750,782,430.64
  5. Step 5: Solve for x
    x = 22,750,782,430.64/69,884.25
  6. Step 6: Final answer
    x = 325,549.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.