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Finding the Third Proportional to 125,467,176 and 271,778,649

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Solution

The third proportional to 125,467,176 and 271,778,649 is: 588,708,827.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,467,176 : 271,778,649 = 271,778,649 : x
  2. Step 2: Convert to fraction form
    125,467,176/271,778,649 = 271,778,649/x
  3. Step 3: Cross multiply
    125,467,176x = 271,778,649 × 271,778,649
  4. Step 4: Simplify right side
    125,467,176x = 73,863,634,052,265,200
  5. Step 5: Solve for x
    x = 73,863,634,052,265,200/125,467,176
  6. Step 6: Final answer
    x = 588,708,827.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.