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Finding the Third Proportional to 172,273,102 and 264,796,103

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Solution

The third proportional to 172,273,102 and 264,796,103 is: 407,010,585.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,273,102 : 264,796,103 = 264,796,103 : x
  2. Step 2: Convert to fraction form
    172,273,102/264,796,103 = 264,796,103/x
  3. Step 3: Cross multiply
    172,273,102x = 264,796,103 × 264,796,103
  4. Step 4: Simplify right side
    172,273,102x = 70,116,976,163,986,608
  5. Step 5: Solve for x
    x = 70,116,976,163,986,608/172,273,102
  6. Step 6: Final answer
    x = 407,010,585.81

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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.