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Finding the Third Proportional to 126,156,423 and 184,445,100

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Solution

The third proportional to 126,156,423 and 184,445,100 is: 269,665,183.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,156,423 : 184,445,100 = 184,445,100 : x
  2. Step 2: Convert to fraction form
    126,156,423/184,445,100 = 184,445,100/x
  3. Step 3: Cross multiply
    126,156,423x = 184,445,100 × 184,445,100
  4. Step 4: Simplify right side
    126,156,423x = 34,019,994,914,010,000
  5. Step 5: Solve for x
    x = 34,019,994,914,010,000/126,156,423
  6. Step 6: Final answer
    x = 269,665,183.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.