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Finding the Third Proportional to 169,558,320 and 365,097,759

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Solution

The third proportional to 169,558,320 and 365,097,759 is: 786,138,796.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,558,320 : 365,097,759 = 365,097,759 : x
  2. Step 2: Convert to fraction form
    169,558,320/365,097,759 = 365,097,759/x
  3. Step 3: Cross multiply
    169,558,320x = 365,097,759 × 365,097,759
  4. Step 4: Simplify right side
    169,558,320x = 133,296,373,626,822,080
  5. Step 5: Solve for x
    x = 133,296,373,626,822,080/169,558,320
  6. Step 6: Final answer
    x = 786,138,796.53

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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.