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Finding the Third Proportional to 148,336,286 and 218,215,802

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Solution

The third proportional to 148,336,286 and 218,215,802 is: 321,014,753.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,336,286 : 218,215,802 = 218,215,802 : x
  2. Step 2: Convert to fraction form
    148,336,286/218,215,802 = 218,215,802/x
  3. Step 3: Cross multiply
    148,336,286x = 218,215,802 × 218,215,802
  4. Step 4: Simplify right side
    148,336,286x = 47,618,136,242,503,200
  5. Step 5: Solve for x
    x = 47,618,136,242,503,200/148,336,286
  6. Step 6: Final answer
    x = 321,014,753.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.