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Finding the Third Proportional to 148,226,427 and 321,969,197.25

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Solution

The third proportional to 148,226,427 and 321,969,197.25 is: 699,363,575.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,226,427 : 321,969,197.25 = 321,969,197.25 : x
  2. Step 2: Convert to fraction form
    148,226,427/321,969,197.25 = 321,969,197.25/x
  3. Step 3: Cross multiply
    148,226,427x = 321,969,197.25 × 321,969,197.25
  4. Step 4: Simplify right side
    148,226,427x = 103,664,163,977,809,408
  5. Step 5: Solve for x
    x = 103,664,163,977,809,408/148,226,427
  6. Step 6: Final answer
    x = 699,363,575.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.