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Finding the Third Proportional to 86,644 and 189,595

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Solution

The third proportional to 86,644 and 189,595 is: 414,873.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,644 : 189,595 = 189,595 : x
  2. Step 2: Convert to fraction form
    86,644/189,595 = 189,595/x
  3. Step 3: Cross multiply
    86,644x = 189,595 × 189,595
  4. Step 4: Simplify right side
    86,644x = 35,946,264,025
  5. Step 5: Solve for x
    x = 35,946,264,025/86,644
  6. Step 6: Final answer
    x = 414,873.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.