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Finding the Third Proportional to 98,263.13 and 149,217.19

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Solution

The third proportional to 98,263.13 and 149,217.19 is: 226,593.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,263.13 : 149,217.19 = 149,217.19 : x
  2. Step 2: Convert to fraction form
    98,263.13/149,217.19 = 149,217.19/x
  3. Step 3: Cross multiply
    98,263.13x = 149,217.19 × 149,217.19
  4. Step 4: Simplify right side
    98,263.13x = 22,265,769,045.41
  5. Step 5: Solve for x
    x = 22,265,769,045.41/98,263.13
  6. Step 6: Final answer
    x = 226,593.33

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.