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Finding the Third Proportional to 118,053,481,347 and 254,918,239,924.50

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Solution

The third proportional to 118,053,481,347 and 254,918,239,924.50 is: 550,456,524,489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,053,481,347 : 254,918,239,924.50 = 254,918,239,924.50 : x
  2. Step 2: Convert to fraction form
    118,053,481,347/254,918,239,924.50 = 254,918,239,924.50/x
  3. Step 3: Cross multiply
    118,053,481,347x = 254,918,239,924.50 × 254,918,239,924.50
  4. Step 4: Simplify right side
    118,053,481,347x = 64,983,309,046,204,946,448,384
  5. Step 5: Solve for x
    x = 64,983,309,046,204,946,448,384/118,053,481,347
  6. Step 6: Final answer
    x = 550,456,524,489.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.