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Finding the Third Proportional to 85,550,990 and 184,738,248

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Solution

The third proportional to 85,550,990 and 184,738,248 is: 398,922,563.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,550,990 : 184,738,248 = 184,738,248 : x
  2. Step 2: Convert to fraction form
    85,550,990/184,738,248 = 184,738,248/x
  3. Step 3: Cross multiply
    85,550,990x = 184,738,248 × 184,738,248
  4. Step 4: Simplify right side
    85,550,990x = 34,128,220,274,109,504
  5. Step 5: Solve for x
    x = 34,128,220,274,109,504/85,550,990
  6. Step 6: Final answer
    x = 398,922,563.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.