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Finding the Third Proportional to 86,396.63 and 133,482.94

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Solution

The third proportional to 86,396.63 and 133,482.94 is: 206,231.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,396.63 : 133,482.94 = 133,482.94 : x
  2. Step 2: Convert to fraction form
    86,396.63/133,482.94 = 133,482.94/x
  3. Step 3: Cross multiply
    86,396.63x = 133,482.94 × 133,482.94
  4. Step 4: Simplify right side
    86,396.63x = 17,817,694,603.63
  5. Step 5: Solve for x
    x = 17,817,694,603.63/86,396.63
  6. Step 6: Final answer
    x = 206,231.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.