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Finding the Third Proportional to 250,481,112 and 538,003,344

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Solution

The third proportional to 250,481,112 and 538,003,344 is: 1,155,566,564.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,481,112 : 538,003,344 = 538,003,344 : x
  2. Step 2: Convert to fraction form
    250,481,112/538,003,344 = 538,003,344/x
  3. Step 3: Cross multiply
    250,481,112x = 538,003,344 × 538,003,344
  4. Step 4: Simplify right side
    250,481,112x = 289,447,598,155,182,336
  5. Step 5: Solve for x
    x = 289,447,598,155,182,336/250,481,112
  6. Step 6: Final answer
    x = 1,155,566,564.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.