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Finding the Third Proportional to 219,354,666 and 476,469,586.50

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Solution

The third proportional to 219,354,666 and 476,469,586.50 is: 1,034,959,825.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,354,666 : 476,469,586.50 = 476,469,586.50 : x
  2. Step 2: Convert to fraction form
    219,354,666/476,469,586.50 = 476,469,586.50/x
  3. Step 3: Cross multiply
    219,354,666x = 476,469,586.50 × 476,469,586.50
  4. Step 4: Simplify right side
    219,354,666x = 227,023,266,859,480,992
  5. Step 5: Solve for x
    x = 227,023,266,859,480,992/219,354,666
  6. Step 6: Final answer
    x = 1,034,959,825.56

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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.