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Finding the Third Proportional to 99,548.50 and 154,138

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Solution

The third proportional to 99,548.50 and 154,138 is: 238,662.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,548.50 : 154,138 = 154,138 : x
  2. Step 2: Convert to fraction form
    99,548.50/154,138 = 154,138/x
  3. Step 3: Cross multiply
    99,548.50x = 154,138 × 154,138
  4. Step 4: Simplify right side
    99,548.50x = 23,758,523,044
  5. Step 5: Solve for x
    x = 23,758,523,044/99,548.50
  6. Step 6: Final answer
    x = 238,662.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.