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Finding the Third Proportional to 148,751,085 and 321,403,893

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Solution

The third proportional to 148,751,085 and 321,403,893 is: 694,451,824.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,751,085 : 321,403,893 = 321,403,893 : x
  2. Step 2: Convert to fraction form
    148,751,085/321,403,893 = 321,403,893/x
  3. Step 3: Cross multiply
    148,751,085x = 321,403,893 × 321,403,893
  4. Step 4: Simplify right side
    148,751,085x = 103,300,462,435,555,456
  5. Step 5: Solve for x
    x = 103,300,462,435,555,456/148,751,085
  6. Step 6: Final answer
    x = 694,451,824.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.