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Finding the Third Proportional to 189,581.91 and 412,638.28

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Solution

The third proportional to 189,581.91 and 412,638.28 is: 898,136.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,581.91 : 412,638.28 = 412,638.28 : x
  2. Step 2: Convert to fraction form
    189,581.91/412,638.28 = 412,638.28/x
  3. Step 3: Cross multiply
    189,581.91x = 412,638.28 × 412,638.28
  4. Step 4: Simplify right side
    189,581.91x = 170,270,351,152.95
  5. Step 5: Solve for x
    x = 170,270,351,152.95/189,581.91
  6. Step 6: Final answer
    x = 898,136.09

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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.