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Finding the Third Proportional to 148,751,088 and 321,403,899

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Solution

The third proportional to 148,751,088 and 321,403,899 is: 694,451,836.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,751,088 : 321,403,899 = 321,403,899 : x
  2. Step 2: Convert to fraction form
    148,751,088/321,403,899 = 321,403,899/x
  3. Step 3: Cross multiply
    148,751,088x = 321,403,899 × 321,403,899
  4. Step 4: Simplify right side
    148,751,088x = 103,300,466,292,402,208
  5. Step 5: Solve for x
    x = 103,300,466,292,402,208/148,751,088
  6. Step 6: Final answer
    x = 694,451,836.83

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Why These Related Problems?

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