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Finding the Third Proportional to 89,047 and 210,211

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Solution

The third proportional to 89,047 and 210,211 is: 496,239.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,047 : 210,211 = 210,211 : x
  2. Step 2: Convert to fraction form
    89,047/210,211 = 210,211/x
  3. Step 3: Cross multiply
    89,047x = 210,211 × 210,211
  4. Step 4: Simplify right side
    89,047x = 44,188,664,521
  5. Step 5: Solve for x
    x = 44,188,664,521/89,047
  6. Step 6: Final answer
    x = 496,239.79

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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.