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Finding the Third Proportional to 78,188,336 and 166,760,672

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Solution

The third proportional to 78,188,336 and 166,760,672 is: 355,668,417.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,188,336 : 166,760,672 = 166,760,672 : x
  2. Step 2: Convert to fraction form
    78,188,336/166,760,672 = 166,760,672/x
  3. Step 3: Cross multiply
    78,188,336x = 166,760,672 × 166,760,672
  4. Step 4: Simplify right side
    78,188,336x = 27,809,121,725,891,584
  5. Step 5: Solve for x
    x = 27,809,121,725,891,584/78,188,336
  6. Step 6: Final answer
    x = 355,668,417.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.