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Finding the Third Proportional to 112,872,419 and 172,682,164

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Solution

The third proportional to 112,872,419 and 172,682,164 is: 264,184,377.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,872,419 : 172,682,164 = 172,682,164 : x
  2. Step 2: Convert to fraction form
    112,872,419/172,682,164 = 172,682,164/x
  3. Step 3: Cross multiply
    112,872,419x = 172,682,164 × 172,682,164
  4. Step 4: Simplify right side
    112,872,419x = 29,819,129,763,722,896
  5. Step 5: Solve for x
    x = 29,819,129,763,722,896/112,872,419
  6. Step 6: Final answer
    x = 264,184,377.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.