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Finding the Third Proportional to 184,347,295 and 394,989,213

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Solution

The third proportional to 184,347,295 and 394,989,213 is: 846,318,240.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,347,295 : 394,989,213 = 394,989,213 : x
  2. Step 2: Convert to fraction form
    184,347,295/394,989,213 = 394,989,213/x
  3. Step 3: Cross multiply
    184,347,295x = 394,989,213 × 394,989,213
  4. Step 4: Simplify right side
    184,347,295x = 156,016,478,386,359,360
  5. Step 5: Solve for x
    x = 156,016,478,386,359,360/184,347,295
  6. Step 6: Final answer
    x = 846,318,240.72

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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.