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Finding the Third Proportional to 216,977,436 and 327,483,967.50

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Solution

The third proportional to 216,977,436 and 327,483,967.50 is: 494,271,436.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,977,436 : 327,483,967.50 = 327,483,967.50 : x
  2. Step 2: Convert to fraction form
    216,977,436/327,483,967.50 = 327,483,967.50/x
  3. Step 3: Cross multiply
    216,977,436x = 327,483,967.50 × 327,483,967.50
  4. Step 4: Simplify right side
    216,977,436x = 107,245,748,969,541,056
  5. Step 5: Solve for x
    x = 107,245,748,969,541,056/216,977,436
  6. Step 6: Final answer
    x = 494,271,436.45

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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.