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Finding the Third Proportional to 169,538,049 and 366,179,346

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Solution

The third proportional to 169,538,049 and 366,179,346 is: 790,898,056.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,538,049 : 366,179,346 = 366,179,346 : x
  2. Step 2: Convert to fraction form
    169,538,049/366,179,346 = 366,179,346/x
  3. Step 3: Cross multiply
    169,538,049x = 366,179,346 × 366,179,346
  4. Step 4: Simplify right side
    169,538,049x = 134,087,313,436,987,712
  5. Step 5: Solve for x
    x = 134,087,313,436,987,712/169,538,049
  6. Step 6: Final answer
    x = 790,898,056.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.