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Finding the Third Proportional to 98,199 and 147,132

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Solution

The third proportional to 98,199 and 147,132 is: 220,448.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,199 : 147,132 = 147,132 : x
  2. Step 2: Convert to fraction form
    98,199/147,132 = 147,132/x
  3. Step 3: Cross multiply
    98,199x = 147,132 × 147,132
  4. Step 4: Simplify right side
    98,199x = 21,647,825,424
  5. Step 5: Solve for x
    x = 21,647,825,424/98,199
  6. Step 6: Final answer
    x = 220,448.53

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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.