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Finding the Third Proportional to 117,946,699 and 184,620,407

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Solution

The third proportional to 117,946,699 and 184,620,407 is: 288,983,879.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,946,699 : 184,620,407 = 184,620,407 : x
  2. Step 2: Convert to fraction form
    117,946,699/184,620,407 = 184,620,407/x
  3. Step 3: Cross multiply
    117,946,699x = 184,620,407 × 184,620,407
  4. Step 4: Simplify right side
    117,946,699x = 34,084,694,680,845,648
  5. Step 5: Solve for x
    x = 34,084,694,680,845,648/117,946,699
  6. Step 6: Final answer
    x = 288,983,879.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.