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Finding the Third Proportional to 109,382.34 and 168,740.44

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Solution

The third proportional to 109,382.34 and 168,740.44 is: 260,310.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,382.34 : 168,740.44 = 168,740.44 : x
  2. Step 2: Convert to fraction form
    109,382.34/168,740.44 = 168,740.44/x
  3. Step 3: Cross multiply
    109,382.34x = 168,740.44 × 168,740.44
  4. Step 4: Simplify right side
    109,382.34x = 28,473,335,247.69
  5. Step 5: Solve for x
    x = 28,473,335,247.69/109,382.34
  6. Step 6: Final answer
    x = 260,310.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.