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Finding the Third Proportional to 148,226,429 and 321,969,202

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Solution

The third proportional to 148,226,429 and 321,969,202 is: 699,363,586.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,226,429 : 321,969,202 = 321,969,202 : x
  2. Step 2: Convert to fraction form
    148,226,429/321,969,202 = 321,969,202/x
  3. Step 3: Cross multiply
    148,226,429x = 321,969,202 × 321,969,202
  4. Step 4: Simplify right side
    148,226,429x = 103,664,167,036,516,800
  5. Step 5: Solve for x
    x = 103,664,167,036,516,800/148,226,429
  6. Step 6: Final answer
    x = 699,363,586.75

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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.