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Finding the Third Proportional to 189,614.67 and 406,216.27

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Solution

The third proportional to 189,614.67 and 406,216.27 is: 870,247.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,614.67 : 406,216.27 = 406,216.27 : x
  2. Step 2: Convert to fraction form
    189,614.67/406,216.27 = 406,216.27/x
  3. Step 3: Cross multiply
    189,614.67x = 406,216.27 × 406,216.27
  4. Step 4: Simplify right side
    189,614.67x = 165,011,654,458.32
  5. Step 5: Solve for x
    x = 165,011,654,458.32/189,614.67
  6. Step 6: Final answer
    x = 870,247.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.