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Finding the Third Proportional to 149,184,676 and 313,830,416

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Solution

The third proportional to 149,184,676 and 313,830,416 is: 660,185,299.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,184,676 : 313,830,416 = 313,830,416 : x
  2. Step 2: Convert to fraction form
    149,184,676/313,830,416 = 313,830,416/x
  3. Step 3: Cross multiply
    149,184,676x = 313,830,416 × 313,830,416
  4. Step 4: Simplify right side
    149,184,676x = 98,489,530,006,733,056
  5. Step 5: Solve for x
    x = 98,489,530,006,733,056/149,184,676
  6. Step 6: Final answer
    x = 660,185,299.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.