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Finding the Third Proportional to 98,416.69 and 147,714.75

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Solution

The third proportional to 98,416.69 and 147,714.75 is: 221,706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,416.69 : 147,714.75 = 147,714.75 : x
  2. Step 2: Convert to fraction form
    98,416.69/147,714.75 = 147,714.75/x
  3. Step 3: Cross multiply
    98,416.69x = 147,714.75 × 147,714.75
  4. Step 4: Simplify right side
    98,416.69x = 21,819,647,367.56
  5. Step 5: Solve for x
    x = 21,819,647,367.56/98,416.69
  6. Step 6: Final answer
    x = 221,706.78

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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.