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Finding the Third Proportional to 216,977,428 and 327,483,956

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Solution

The third proportional to 216,977,428 and 327,483,956 is: 494,271,419.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,977,428 : 327,483,956 = 327,483,956 : x
  2. Step 2: Convert to fraction form
    216,977,428/327,483,956 = 327,483,956/x
  3. Step 3: Cross multiply
    216,977,428x = 327,483,956 × 327,483,956
  4. Step 4: Simplify right side
    216,977,428x = 107,245,741,437,409,936
  5. Step 5: Solve for x
    x = 107,245,741,437,409,936/216,977,428
  6. Step 6: Final answer
    x = 494,271,419.96

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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.