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Finding the Third Proportional to 103,643.30 and 156,195.37

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Solution

The third proportional to 103,643.30 and 156,195.37 is: 235,393.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,643.30 : 156,195.37 = 156,195.37 : x
  2. Step 2: Convert to fraction form
    103,643.30/156,195.37 = 156,195.37/x
  3. Step 3: Cross multiply
    103,643.30x = 156,195.37 × 156,195.37
  4. Step 4: Simplify right side
    103,643.30x = 24,396,993,340.97
  5. Step 5: Solve for x
    x = 24,396,993,340.97/103,643.30
  6. Step 6: Final answer
    x = 235,393.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.