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Finding the Third Proportional to 156,504,682 and 343,242,420

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Solution

The third proportional to 156,504,682 and 343,242,420 is: 752,791,273.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,504,682 : 343,242,420 = 343,242,420 : x
  2. Step 2: Convert to fraction form
    156,504,682/343,242,420 = 343,242,420/x
  3. Step 3: Cross multiply
    156,504,682x = 343,242,420 × 343,242,420
  4. Step 4: Simplify right side
    156,504,682x = 117,815,358,887,456,400
  5. Step 5: Solve for x
    x = 117,815,358,887,456,400/156,504,682
  6. Step 6: Final answer
    x = 752,791,273.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.