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Finding the Third Proportional to 184,347,293 and 394,989,209

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Solution

The third proportional to 184,347,293 and 394,989,209 is: 846,318,232.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,347,293 : 394,989,209 = 394,989,209 : x
  2. Step 2: Convert to fraction form
    184,347,293/394,989,209 = 394,989,209/x
  3. Step 3: Cross multiply
    184,347,293x = 394,989,209 × 394,989,209
  4. Step 4: Simplify right side
    184,347,293x = 156,016,475,226,445,696
  5. Step 5: Solve for x
    x = 156,016,475,226,445,696/184,347,293
  6. Step 6: Final answer
    x = 846,318,232.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.