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Finding the Third Proportional to 216,977,514 and 327,484,041

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Solution

The third proportional to 216,977,514 and 327,484,041 is: 494,271,480.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,977,514 : 327,484,041 = 327,484,041 : x
  2. Step 2: Convert to fraction form
    216,977,514/327,484,041 = 327,484,041/x
  3. Step 3: Cross multiply
    216,977,514x = 327,484,041 × 327,484,041
  4. Step 4: Simplify right side
    216,977,514x = 107,245,797,109,689,680
  5. Step 5: Solve for x
    x = 107,245,797,109,689,680/216,977,514
  6. Step 6: Final answer
    x = 494,271,480.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.