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Finding the Third Proportional to 205,277,162 and 446,691,340

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Solution

The third proportional to 205,277,162 and 446,691,340 is: 972,018,276.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,277,162 : 446,691,340 = 446,691,340 : x
  2. Step 2: Convert to fraction form
    205,277,162/446,691,340 = 446,691,340/x
  3. Step 3: Cross multiply
    205,277,162x = 446,691,340 × 446,691,340
  4. Step 4: Simplify right side
    205,277,162x = 199,533,153,230,995,584
  5. Step 5: Solve for x
    x = 199,533,153,230,995,584/205,277,162
  6. Step 6: Final answer
    x = 972,018,276.59

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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.