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Finding the Third Proportional to 136,181,752 and 203,790,128

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Solution

The third proportional to 136,181,752 and 203,790,128 is: 304,963,151.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,181,752 : 203,790,128 = 203,790,128 : x
  2. Step 2: Convert to fraction form
    136,181,752/203,790,128 = 203,790,128/x
  3. Step 3: Cross multiply
    136,181,752x = 203,790,128 × 203,790,128
  4. Step 4: Simplify right side
    136,181,752x = 41,530,416,270,256,384
  5. Step 5: Solve for x
    x = 41,530,416,270,256,384/136,181,752
  6. Step 6: Final answer
    x = 304,963,151.53

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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.