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Finding the Third Proportional to 169,148,196 and 269,150,828

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Solution

The third proportional to 169,148,196 and 269,150,828 is: 428,276,327.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,148,196 : 269,150,828 = 269,150,828 : x
  2. Step 2: Convert to fraction form
    169,148,196/269,150,828 = 269,150,828/x
  3. Step 3: Cross multiply
    169,148,196x = 269,150,828 × 269,150,828
  4. Step 4: Simplify right side
    169,148,196x = 72,442,168,213,085,584
  5. Step 5: Solve for x
    x = 72,442,168,213,085,584/169,148,196
  6. Step 6: Final answer
    x = 428,276,327.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.