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Finding the Third Proportional to 214,768,269,754.50 and 323,049,062,056.50

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Solution

The third proportional to 214,768,269,754.50 and 323,049,062,056.50 is: 485,922,322,766.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,768,269,754.50 : 323,049,062,056.50 = 323,049,062,056.50 : x
  2. Step 2: Convert to fraction form
    214,768,269,754.50/323,049,062,056.50 = 323,049,062,056.50/x
  3. Step 3: Cross multiply
    214,768,269,754.50x = 323,049,062,056.50 × 323,049,062,056.50
  4. Step 4: Simplify right side
    214,768,269,754.50x = 104,360,696,495,584,393,035,776
  5. Step 5: Solve for x
    x = 104,360,696,495,584,393,035,776/214,768,269,754.50
  6. Step 6: Final answer
    x = 485,922,322,766.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.