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Finding the Third Proportional to 213,556,464 and 459,305,568

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Solution

The third proportional to 213,556,464 and 459,305,568 is: 987,849,306.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,556,464 : 459,305,568 = 459,305,568 : x
  2. Step 2: Convert to fraction form
    213,556,464/459,305,568 = 459,305,568/x
  3. Step 3: Cross multiply
    213,556,464x = 459,305,568 × 459,305,568
  4. Step 4: Simplify right side
    213,556,464x = 210,961,604,795,802,624
  5. Step 5: Solve for x
    x = 210,961,604,795,802,624/213,556,464
  6. Step 6: Final answer
    x = 987,849,306.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.