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Finding the Third Proportional to 100,608 and 149,170.50

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Solution

The third proportional to 100,608 and 149,170.50 is: 221,173.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,608 : 149,170.50 = 149,170.50 : x
  2. Step 2: Convert to fraction form
    100,608/149,170.50 = 149,170.50/x
  3. Step 3: Cross multiply
    100,608x = 149,170.50 × 149,170.50
  4. Step 4: Simplify right side
    100,608x = 22,251,838,070.25
  5. Step 5: Solve for x
    x = 22,251,838,070.25/100,608
  6. Step 6: Final answer
    x = 221,173.64

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.