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Finding the Third Proportional to 156,504,711 and 343,242,510

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Solution

The third proportional to 156,504,711 and 343,242,510 is: 752,791,528.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,504,711 : 343,242,510 = 343,242,510 : x
  2. Step 2: Convert to fraction form
    156,504,711/343,242,510 = 343,242,510/x
  3. Step 3: Cross multiply
    156,504,711x = 343,242,510 × 343,242,510
  4. Step 4: Simplify right side
    156,504,711x = 117,815,420,671,100,096
  5. Step 5: Solve for x
    x = 117,815,420,671,100,096/156,504,711
  6. Step 6: Final answer
    x = 752,791,528.88

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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.