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Finding the Third Proportional to 77,164.31 and 168,467.91

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Solution

The third proportional to 77,164.31 and 168,467.91 is: 367,805.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,164.31 : 168,467.91 = 168,467.91 : x
  2. Step 2: Convert to fraction form
    77,164.31/168,467.91 = 168,467.91/x
  3. Step 3: Cross multiply
    77,164.31x = 168,467.91 × 168,467.91
  4. Step 4: Simplify right side
    77,164.31x = 28,381,435,436.26
  5. Step 5: Solve for x
    x = 28,381,435,436.26/77,164.31
  6. Step 6: Final answer
    x = 367,805.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.