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Finding the Third Proportional to 96,990.50 and 145,616.50

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Solution

The third proportional to 96,990.50 and 145,616.50 is: 218,621.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,990.50 : 145,616.50 = 145,616.50 : x
  2. Step 2: Convert to fraction form
    96,990.50/145,616.50 = 145,616.50/x
  3. Step 3: Cross multiply
    96,990.50x = 145,616.50 × 145,616.50
  4. Step 4: Simplify right side
    96,990.50x = 21,204,165,072.25
  5. Step 5: Solve for x
    x = 21,204,165,072.25/96,990.50
  6. Step 6: Final answer
    x = 218,621.05

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Why These Related Problems?

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