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Finding the Third Proportional to 214,979,523 and 470,196,819

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Solution

The third proportional to 214,979,523 and 470,196,819 is: 1,028,400,498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,979,523 : 470,196,819 = 470,196,819 : x
  2. Step 2: Convert to fraction form
    214,979,523/470,196,819 = 470,196,819/x
  3. Step 3: Cross multiply
    214,979,523x = 470,196,819 × 470,196,819
  4. Step 4: Simplify right side
    214,979,523x = 221,085,048,597,718,752
  5. Step 5: Solve for x
    x = 221,085,048,597,718,752/214,979,523
  6. Step 6: Final answer
    x = 1,028,400,498.39

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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.