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Finding the Third Proportional to 156,950,741 and 337,888,342

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Solution

The third proportional to 156,950,741 and 337,888,342 is: 727,416,327.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,950,741 : 337,888,342 = 337,888,342 : x
  2. Step 2: Convert to fraction form
    156,950,741/337,888,342 = 337,888,342/x
  3. Step 3: Cross multiply
    156,950,741x = 337,888,342 × 337,888,342
  4. Step 4: Simplify right side
    156,950,741x = 114,168,531,659,508,960
  5. Step 5: Solve for x
    x = 114,168,531,659,508,960/156,950,741
  6. Step 6: Final answer
    x = 727,416,327.77

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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.