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Finding the Third Proportional to 209,189,741 and 456,045,418

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Solution

The third proportional to 209,189,741 and 456,045,418 is: 994,204,698.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,189,741 : 456,045,418 = 456,045,418 : x
  2. Step 2: Convert to fraction form
    209,189,741/456,045,418 = 456,045,418/x
  3. Step 3: Cross multiply
    209,189,741x = 456,045,418 × 456,045,418
  4. Step 4: Simplify right side
    209,189,741x = 207,977,423,278,794,720
  5. Step 5: Solve for x
    x = 207,977,423,278,794,720/209,189,741
  6. Step 6: Final answer
    x = 994,204,698.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.