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Finding the Third Proportional to 214,620,114 and 464,894,823

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Solution

The third proportional to 214,620,114 and 464,894,823 is: 1,007,022,093.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,620,114 : 464,894,823 = 464,894,823 : x
  2. Step 2: Convert to fraction form
    214,620,114/464,894,823 = 464,894,823/x
  3. Step 3: Cross multiply
    214,620,114x = 464,894,823 × 464,894,823
  4. Step 4: Simplify right side
    214,620,114x = 216,127,196,452,201,344
  5. Step 5: Solve for x
    x = 216,127,196,452,201,344/214,620,114
  6. Step 6: Final answer
    x = 1,007,022,093.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.