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Finding the Third Proportional to 146,498,843,843.25 and 305,036,903,946

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Solution

The third proportional to 146,498,843,843.25 and 305,036,903,946 is: 635,141,618,377.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,498,843,843.25 : 305,036,903,946 = 305,036,903,946 : x
  2. Step 2: Convert to fraction form
    146,498,843,843.25/305,036,903,946 = 305,036,903,946/x
  3. Step 3: Cross multiply
    146,498,843,843.25x = 305,036,903,946 × 305,036,903,946
  4. Step 4: Simplify right side
    146,498,843,843.25x = 93,047,512,768,961,222,541,312
  5. Step 5: Solve for x
    x = 93,047,512,768,961,222,541,312/146,498,843,843.25
  6. Step 6: Final answer
    x = 635,141,618,377.00

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.