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Finding the Third Proportional to 172,271,826 and 264,794,244

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Solution

The third proportional to 172,271,826 and 264,794,244 is: 407,007,885.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,271,826 : 264,794,244 = 264,794,244 : x
  2. Step 2: Convert to fraction form
    172,271,826/264,794,244 = 264,794,244/x
  3. Step 3: Cross multiply
    172,271,826x = 264,794,244 × 264,794,244
  4. Step 4: Simplify right side
    172,271,826x = 70,115,991,655,531,536
  5. Step 5: Solve for x
    x = 70,115,991,655,531,536/172,271,826
  6. Step 6: Final answer
    x = 407,007,885.64

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.