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Finding the Third Proportional to 120,157,568.25 and 246,685,046.25

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Solution

The third proportional to 120,157,568.25 and 246,685,046.25 is: 506,447,599.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,157,568.25 : 246,685,046.25 = 246,685,046.25 : x
  2. Step 2: Convert to fraction form
    120,157,568.25/246,685,046.25 = 246,685,046.25/x
  3. Step 3: Cross multiply
    120,157,568.25x = 246,685,046.25 × 246,685,046.25
  4. Step 4: Simplify right side
    120,157,568.25x = 60,853,512,043,364,640
  5. Step 5: Solve for x
    x = 60,853,512,043,364,640/120,157,568.25
  6. Step 6: Final answer
    x = 506,447,599.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.