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Finding the Third Proportional to 99,196.68 and 149,019.28

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Solution

The third proportional to 99,196.68 and 149,019.28 is: 223,865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,196.68 : 149,019.28 = 149,019.28 : x
  2. Step 2: Convert to fraction form
    99,196.68/149,019.28 = 149,019.28/x
  3. Step 3: Cross multiply
    99,196.68x = 149,019.28 × 149,019.28
  4. Step 4: Simplify right side
    99,196.68x = 22,206,744,437.95
  5. Step 5: Solve for x
    x = 22,206,744,437.95/99,196.68
  6. Step 6: Final answer
    x = 223,865.80

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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.