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Finding the Third Proportional to 117,215,744 and 237,744,000

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Solution

The third proportional to 117,215,744 and 237,744,000 is: 482,206,635.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,215,744 : 237,744,000 = 237,744,000 : x
  2. Step 2: Convert to fraction form
    117,215,744/237,744,000 = 237,744,000/x
  3. Step 3: Cross multiply
    117,215,744x = 237,744,000 × 237,744,000
  4. Step 4: Simplify right side
    117,215,744x = 56,522,209,536,000,000
  5. Step 5: Solve for x
    x = 56,522,209,536,000,000/117,215,744
  6. Step 6: Final answer
    x = 482,206,635.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.