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Finding the Third Proportional to 98,988 and 147,996

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Solution

The third proportional to 98,988 and 147,996 is: 221,267.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,988 : 147,996 = 147,996 : x
  2. Step 2: Convert to fraction form
    98,988/147,996 = 147,996/x
  3. Step 3: Cross multiply
    98,988x = 147,996 × 147,996
  4. Step 4: Simplify right side
    98,988x = 21,902,816,016
  5. Step 5: Solve for x
    x = 21,902,816,016/98,988
  6. Step 6: Final answer
    x = 221,267.39

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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.