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Finding the Third Proportional to 229,806,812 and 343,895,990

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Solution

The third proportional to 229,806,812 and 343,895,990 is: 514,625,527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,806,812 : 343,895,990 = 343,895,990 : x
  2. Step 2: Convert to fraction form
    229,806,812/343,895,990 = 343,895,990/x
  3. Step 3: Cross multiply
    229,806,812x = 343,895,990 × 343,895,990
  4. Step 4: Simplify right side
    229,806,812x = 118,264,451,938,080,096
  5. Step 5: Solve for x
    x = 118,264,451,938,080,096/229,806,812
  6. Step 6: Final answer
    x = 514,625,527.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.