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Finding the Third Proportional to 216,977,517 and 327,484,046

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Solution

The third proportional to 216,977,517 and 327,484,046 is: 494,271,488.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,977,517 : 327,484,046 = 327,484,046 : x
  2. Step 2: Convert to fraction form
    216,977,517/327,484,046 = 327,484,046/x
  3. Step 3: Cross multiply
    216,977,517x = 327,484,046 × 327,484,046
  4. Step 4: Simplify right side
    216,977,517x = 107,245,800,384,530,112
  5. Step 5: Solve for x
    x = 107,245,800,384,530,112/216,977,517
  6. Step 6: Final answer
    x = 494,271,488.90

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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.