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Finding the Third Proportional to 94,823,766 and 206,876,627

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Solution

The third proportional to 94,823,766 and 206,876,627 is: 451,341,900.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,823,766 : 206,876,627 = 206,876,627 : x
  2. Step 2: Convert to fraction form
    94,823,766/206,876,627 = 206,876,627/x
  3. Step 3: Cross multiply
    94,823,766x = 206,876,627 × 206,876,627
  4. Step 4: Simplify right side
    94,823,766x = 42,797,938,798,897,128
  5. Step 5: Solve for x
    x = 42,797,938,798,897,128/94,823,766
  6. Step 6: Final answer
    x = 451,341,900.92

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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.