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Finding the Third Proportional to 216,977,420.25 and 327,483,942.75

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Solution

The third proportional to 216,977,420.25 and 327,483,942.75 is: 494,271,397.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,977,420.25 : 327,483,942.75 = 327,483,942.75 : x
  2. Step 2: Convert to fraction form
    216,977,420.25/327,483,942.75 = 327,483,942.75/x
  3. Step 3: Cross multiply
    216,977,420.25x = 327,483,942.75 × 327,483,942.75
  4. Step 4: Simplify right side
    216,977,420.25x = 107,245,732,759,085,280
  5. Step 5: Solve for x
    x = 107,245,732,759,085,280/216,977,420.25
  6. Step 6: Final answer
    x = 494,271,397.62

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