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Finding the Third Proportional to 156,950,743 and 337,888,346

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Solution

The third proportional to 156,950,743 and 337,888,346 is: 727,416,335.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,950,743 : 337,888,346 = 337,888,346 : x
  2. Step 2: Convert to fraction form
    156,950,743/337,888,346 = 337,888,346/x
  3. Step 3: Cross multiply
    156,950,743x = 337,888,346 × 337,888,346
  4. Step 4: Simplify right side
    156,950,743x = 114,168,534,362,615,712
  5. Step 5: Solve for x
    x = 114,168,534,362,615,712/156,950,743
  6. Step 6: Final answer
    x = 727,416,335.73

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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.