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Finding the Third Proportional to 214,979,525 and 470,196,823

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Solution

The third proportional to 214,979,525 and 470,196,823 is: 1,028,400,506.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,979,525 : 470,196,823 = 470,196,823 : x
  2. Step 2: Convert to fraction form
    214,979,525/470,196,823 = 470,196,823/x
  3. Step 3: Cross multiply
    214,979,525x = 470,196,823 × 470,196,823
  4. Step 4: Simplify right side
    214,979,525x = 221,085,052,359,293,344
  5. Step 5: Solve for x
    x = 221,085,052,359,293,344/214,979,525
  6. Step 6: Final answer
    x = 1,028,400,506.32

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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.