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Finding the Third Proportional to 149,184,696 and 313,830,456

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Solution

The third proportional to 149,184,696 and 313,830,456 is: 660,185,379.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,184,696 : 313,830,456 = 313,830,456 : x
  2. Step 2: Convert to fraction form
    149,184,696/313,830,456 = 313,830,456/x
  3. Step 3: Cross multiply
    149,184,696x = 313,830,456 × 313,830,456
  4. Step 4: Simplify right side
    149,184,696x = 98,489,555,113,167,936
  5. Step 5: Solve for x
    x = 98,489,555,113,167,936/149,184,696
  6. Step 6: Final answer
    x = 660,185,379.29

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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.