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Finding the Third Proportional to 86,476 and 188,102

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Solution

The third proportional to 86,476 and 188,102 is: 409,158.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,476 : 188,102 = 188,102 : x
  2. Step 2: Convert to fraction form
    86,476/188,102 = 188,102/x
  3. Step 3: Cross multiply
    86,476x = 188,102 × 188,102
  4. Step 4: Simplify right side
    86,476x = 35,382,362,404
  5. Step 5: Solve for x
    x = 35,382,362,404/86,476
  6. Step 6: Final answer
    x = 409,158.18

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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.