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Finding the Third Proportional to 214,979,529 and 470,196,831

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Solution

The third proportional to 214,979,529 and 470,196,831 is: 1,028,400,522.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,979,529 : 470,196,831 = 470,196,831 : x
  2. Step 2: Convert to fraction form
    214,979,529/470,196,831 = 470,196,831/x
  3. Step 3: Cross multiply
    214,979,529x = 470,196,831 × 470,196,831
  4. Step 4: Simplify right side
    214,979,529x = 221,085,059,882,442,560
  5. Step 5: Solve for x
    x = 221,085,059,882,442,560/214,979,529
  6. Step 6: Final answer
    x = 1,028,400,522.18

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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.