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Finding the Third Proportional to 126,570,224 and 190,192,336

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Solution

The third proportional to 126,570,224 and 190,192,336 is: 285,794,901.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,570,224 : 190,192,336 = 190,192,336 : x
  2. Step 2: Convert to fraction form
    126,570,224/190,192,336 = 190,192,336/x
  3. Step 3: Cross multiply
    126,570,224x = 190,192,336 × 190,192,336
  4. Step 4: Simplify right side
    126,570,224x = 36,173,124,673,136,896
  5. Step 5: Solve for x
    x = 36,173,124,673,136,896/126,570,224
  6. Step 6: Final answer
    x = 285,794,901.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.