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Finding the Third Proportional to 189,811.13 and 412,835.63

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Solution

The third proportional to 189,811.13 and 412,835.63 is: 897,909.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,811.13 : 412,835.63 = 412,835.63 : x
  2. Step 2: Convert to fraction form
    189,811.13/412,835.63 = 412,835.63/x
  3. Step 3: Cross multiply
    189,811.13x = 412,835.63 × 412,835.63
  4. Step 4: Simplify right side
    189,811.13x = 170,433,253,269.14
  5. Step 5: Solve for x
    x = 170,433,253,269.14/189,811.13
  6. Step 6: Final answer
    x = 897,909.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.