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Finding the Third Proportional to 227,309,524.50 and 332,461,219.50

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Solution

The third proportional to 227,309,524.50 and 332,461,219.50 is: 486,255,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,309,524.50 : 332,461,219.50 = 332,461,219.50 : x
  2. Step 2: Convert to fraction form
    227,309,524.50/332,461,219.50 = 332,461,219.50/x
  3. Step 3: Cross multiply
    227,309,524.50x = 332,461,219.50 × 332,461,219.50
  4. Step 4: Simplify right side
    227,309,524.50x = 110,530,462,471,427,184
  5. Step 5: Solve for x
    x = 110,530,462,471,427,184/227,309,524.50
  6. Step 6: Final answer
    x = 486,255,306.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.