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Finding the Third Proportional to 85,550,984 and 184,738,252

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Solution

The third proportional to 85,550,984 and 184,738,252 is: 398,922,609.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,550,984 : 184,738,252 = 184,738,252 : x
  2. Step 2: Convert to fraction form
    85,550,984/184,738,252 = 184,738,252/x
  3. Step 3: Cross multiply
    85,550,984x = 184,738,252 × 184,738,252
  4. Step 4: Simplify right side
    85,550,984x = 34,128,221,752,015,504
  5. Step 5: Solve for x
    x = 34,128,221,752,015,504/85,550,984
  6. Step 6: Final answer
    x = 398,922,609.14

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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.