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Finding the Third Proportional to 99,178 and 148,980

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Solution

The third proportional to 99,178 and 148,980 is: 223,789.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,178 : 148,980 = 148,980 : x
  2. Step 2: Convert to fraction form
    99,178/148,980 = 148,980/x
  3. Step 3: Cross multiply
    99,178x = 148,980 × 148,980
  4. Step 4: Simplify right side
    99,178x = 22,195,040,400
  5. Step 5: Solve for x
    x = 22,195,040,400/99,178
  6. Step 6: Final answer
    x = 223,789.96

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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.