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Finding the Third Proportional to 85,550,985 and 184,738,239

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Solution

The third proportional to 85,550,985 and 184,738,239 is: 398,922,548.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,550,985 : 184,738,239 = 184,738,239 : x
  2. Step 2: Convert to fraction form
    85,550,985/184,738,239 = 184,738,239/x
  3. Step 3: Cross multiply
    85,550,985x = 184,738,239 × 184,738,239
  4. Step 4: Simplify right side
    85,550,985x = 34,128,216,948,821,120
  5. Step 5: Solve for x
    x = 34,128,216,948,821,120/85,550,985
  6. Step 6: Final answer
    x = 398,922,548.34

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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.