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Finding the Third Proportional to 156,943,984 and 337,877,227

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Solution

The third proportional to 156,943,984 and 337,877,227 is: 727,399,786.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,943,984 : 337,877,227 = 337,877,227 : x
  2. Step 2: Convert to fraction form
    156,943,984/337,877,227 = 337,877,227/x
  3. Step 3: Cross multiply
    156,943,984x = 337,877,227 × 337,877,227
  4. Step 4: Simplify right side
    156,943,984x = 114,161,020,525,209,536
  5. Step 5: Solve for x
    x = 114,161,020,525,209,536/156,943,984
  6. Step 6: Final answer
    x = 727,399,786.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.