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Finding the Third Proportional to 89,873,194 and 193,590,098

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Solution

The third proportional to 89,873,194 and 193,590,098 is: 417,000,046.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,873,194 : 193,590,098 = 193,590,098 : x
  2. Step 2: Convert to fraction form
    89,873,194/193,590,098 = 193,590,098/x
  3. Step 3: Cross multiply
    89,873,194x = 193,590,098 × 193,590,098
  4. Step 4: Simplify right side
    89,873,194x = 37,477,126,043,649,600
  5. Step 5: Solve for x
    x = 37,477,126,043,649,600/89,873,194
  6. Step 6: Final answer
    x = 417,000,046.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.