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Finding the Third Proportional to 99,708 and 147,996

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Solution

The third proportional to 99,708 and 147,996 is: 219,669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,708 : 147,996 = 147,996 : x
  2. Step 2: Convert to fraction form
    99,708/147,996 = 147,996/x
  3. Step 3: Cross multiply
    99,708x = 147,996 × 147,996
  4. Step 4: Simplify right side
    99,708x = 21,902,816,016
  5. Step 5: Solve for x
    x = 21,902,816,016/99,708
  6. Step 6: Final answer
    x = 219,669.60

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.