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Finding the Third Proportional to 194,280,481.13 and 317,208,956.63

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Solution

The third proportional to 194,280,481.13 and 317,208,956.63 is: 517,918,843.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,280,481.13 : 317,208,956.63 = 317,208,956.63 : x
  2. Step 2: Convert to fraction form
    194,280,481.13/317,208,956.63 = 317,208,956.63/x
  3. Step 3: Cross multiply
    194,280,481.13x = 317,208,956.63 × 317,208,956.63
  4. Step 4: Simplify right side
    194,280,481.13x = 100,621,522,163,121,136
  5. Step 5: Solve for x
    x = 100,621,522,163,121,136/194,280,481.13
  6. Step 6: Final answer
    x = 517,918,843.83

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.