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Finding the Third Proportional to 195,314,073.38 and 417,489,275.25

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Solution

The third proportional to 195,314,073.38 and 417,489,275.25 is: 892,394,961.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,314,073.38 : 417,489,275.25 = 417,489,275.25 : x
  2. Step 2: Convert to fraction form
    195,314,073.38/417,489,275.25 = 417,489,275.25/x
  3. Step 3: Cross multiply
    195,314,073.38x = 417,489,275.25 × 417,489,275.25
  4. Step 4: Simplify right side
    195,314,073.38x = 174,297,294,948,770,272
  5. Step 5: Solve for x
    x = 174,297,294,948,770,272/195,314,073.38
  6. Step 6: Final answer
    x = 892,394,961.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.