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Finding the Third Proportional to 109,516.11 and 159,968.04

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Solution

The third proportional to 109,516.11 and 159,968.04 is: 233,662.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,516.11 : 159,968.04 = 159,968.04 : x
  2. Step 2: Convert to fraction form
    109,516.11/159,968.04 = 159,968.04/x
  3. Step 3: Cross multiply
    109,516.11x = 159,968.04 × 159,968.04
  4. Step 4: Simplify right side
    109,516.11x = 25,589,773,521.50
  5. Step 5: Solve for x
    x = 25,589,773,521.50/109,516.11
  6. Step 6: Final answer
    x = 233,662.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.