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Finding the Third Proportional to 106,411.22 and 158,694.19

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Solution

The third proportional to 106,411.22 and 158,694.19 is: 236,665.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,411.22 : 158,694.19 = 158,694.19 : x
  2. Step 2: Convert to fraction form
    106,411.22/158,694.19 = 158,694.19/x
  3. Step 3: Cross multiply
    106,411.22x = 158,694.19 × 158,694.19
  4. Step 4: Simplify right side
    106,411.22x = 25,183,845,146.29
  5. Step 5: Solve for x
    x = 25,183,845,146.29/106,411.22
  6. Step 6: Final answer
    x = 236,665.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.