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Finding the Third Proportional to 99,183 and 148,990.50

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Solution

The third proportional to 99,183 and 148,990.50 is: 223,810.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,183 : 148,990.50 = 148,990.50 : x
  2. Step 2: Convert to fraction form
    99,183/148,990.50 = 148,990.50/x
  3. Step 3: Cross multiply
    99,183x = 148,990.50 × 148,990.50
  4. Step 4: Simplify right side
    99,183x = 22,198,169,090.25
  5. Step 5: Solve for x
    x = 22,198,169,090.25/99,183
  6. Step 6: Final answer
    x = 223,810.22

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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.