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Finding the Third Proportional to 221,836,306.50 and 478,747,233

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Solution

The third proportional to 221,836,306.50 and 478,747,233 is: 1,033,189,367.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,836,306.50 : 478,747,233 = 478,747,233 : x
  2. Step 2: Convert to fraction form
    221,836,306.50/478,747,233 = 478,747,233/x
  3. Step 3: Cross multiply
    221,836,306.50x = 478,747,233 × 478,747,233
  4. Step 4: Simplify right side
    221,836,306.50x = 229,198,913,105,156,288
  5. Step 5: Solve for x
    x = 229,198,913,105,156,288/221,836,306.50
  6. Step 6: Final answer
    x = 1,033,189,367.07

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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.