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Finding the Third Proportional to 89,019 and 210,139.31

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Solution

The third proportional to 89,019 and 210,139.31 is: 496,057.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,019 : 210,139.31 = 210,139.31 : x
  2. Step 2: Convert to fraction form
    89,019/210,139.31 = 210,139.31/x
  3. Step 3: Cross multiply
    89,019x = 210,139.31 × 210,139.31
  4. Step 4: Simplify right side
    89,019x = 44,158,530,657.97
  5. Step 5: Solve for x
    x = 44,158,530,657.97/89,019
  6. Step 6: Final answer
    x = 496,057.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.