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Finding the Third Proportional to 131,503,228 and 209,432,009

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Solution

The third proportional to 131,503,228 and 209,432,009 is: 333,541,366.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,503,228 : 209,432,009 = 209,432,009 : x
  2. Step 2: Convert to fraction form
    131,503,228/209,432,009 = 209,432,009/x
  3. Step 3: Cross multiply
    131,503,228x = 209,432,009 × 209,432,009
  4. Step 4: Simplify right side
    131,503,228x = 43,861,766,393,776,080
  5. Step 5: Solve for x
    x = 43,861,766,393,776,080/131,503,228
  6. Step 6: Final answer
    x = 333,541,366.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.