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Finding the Third Proportional to 87,819 and 189,462

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Solution

The third proportional to 87,819 and 189,462 is: 408,748.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,819 : 189,462 = 189,462 : x
  2. Step 2: Convert to fraction form
    87,819/189,462 = 189,462/x
  3. Step 3: Cross multiply
    87,819x = 189,462 × 189,462
  4. Step 4: Simplify right side
    87,819x = 35,895,849,444
  5. Step 5: Solve for x
    x = 35,895,849,444/87,819
  6. Step 6: Final answer
    x = 408,748.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.