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Finding the Third Proportional to 172,273,510 and 264,796,737

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Solution

The third proportional to 172,273,510 and 264,796,737 is: 407,011,570.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,273,510 : 264,796,737 = 264,796,737 : x
  2. Step 2: Convert to fraction form
    172,273,510/264,796,737 = 264,796,737/x
  3. Step 3: Cross multiply
    172,273,510x = 264,796,737 × 264,796,737
  4. Step 4: Simplify right side
    172,273,510x = 70,117,311,925,847,168
  5. Step 5: Solve for x
    x = 70,117,311,925,847,168/172,273,510
  6. Step 6: Final answer
    x = 407,011,570.88

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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.