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Finding the Third Proportional to 102,892,131 and 220,704,000

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Solution

The third proportional to 102,892,131 and 220,704,000 is: 473,410,892.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,892,131 : 220,704,000 = 220,704,000 : x
  2. Step 2: Convert to fraction form
    102,892,131/220,704,000 = 220,704,000/x
  3. Step 3: Cross multiply
    102,892,131x = 220,704,000 × 220,704,000
  4. Step 4: Simplify right side
    102,892,131x = 48,710,255,616,000,000
  5. Step 5: Solve for x
    x = 48,710,255,616,000,000/102,892,131
  6. Step 6: Final answer
    x = 473,410,892.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.