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Finding the Third Proportional to 146,253,838,048 and 296,620,000,980

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Solution

The third proportional to 146,253,838,048 and 296,620,000,980 is: 601,580,280,939.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,253,838,048 : 296,620,000,980 = 296,620,000,980 : x
  2. Step 2: Convert to fraction form
    146,253,838,048/296,620,000,980 = 296,620,000,980/x
  3. Step 3: Cross multiply
    146,253,838,048x = 296,620,000,980 × 296,620,000,980
  4. Step 4: Simplify right side
    146,253,838,048x = 87,983,424,981,375,194,759,168
  5. Step 5: Solve for x
    x = 87,983,424,981,375,194,759,168/146,253,838,048
  6. Step 6: Final answer
    x = 601,580,280,939.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.