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Finding the Third Proportional to 172,273,340 and 264,796,495

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Solution

The third proportional to 172,273,340 and 264,796,495 is: 407,011,228.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,273,340 : 264,796,495 = 264,796,495 : x
  2. Step 2: Convert to fraction form
    172,273,340/264,796,495 = 264,796,495/x
  3. Step 3: Cross multiply
    172,273,340x = 264,796,495 × 264,796,495
  4. Step 4: Simplify right side
    172,273,340x = 70,117,183,764,285,024
  5. Step 5: Solve for x
    x = 70,117,183,764,285,024/172,273,340
  6. Step 6: Final answer
    x = 407,011,228.58

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Why These Related Problems?

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