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Finding the Third Proportional to 102,305 and 218,821

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Solution

The third proportional to 102,305 and 218,821 is: 468,038.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,305 : 218,821 = 218,821 : x
  2. Step 2: Convert to fraction form
    102,305/218,821 = 218,821/x
  3. Step 3: Cross multiply
    102,305x = 218,821 × 218,821
  4. Step 4: Simplify right side
    102,305x = 47,882,630,041
  5. Step 5: Solve for x
    x = 47,882,630,041/102,305
  6. Step 6: Final answer
    x = 468,038.02

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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.