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Finding the Third Proportional to 99,212.50 and 149,041.50

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Solution

The third proportional to 99,212.50 and 149,041.50 is: 223,896.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,212.50 : 149,041.50 = 149,041.50 : x
  2. Step 2: Convert to fraction form
    99,212.50/149,041.50 = 149,041.50/x
  3. Step 3: Cross multiply
    99,212.50x = 149,041.50 × 149,041.50
  4. Step 4: Simplify right side
    99,212.50x = 22,213,368,722.25
  5. Step 5: Solve for x
    x = 22,213,368,722.25/99,212.50
  6. Step 6: Final answer
    x = 223,896.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.