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Finding the Third Proportional to 248,483,013 and 540,598,857

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Solution

The third proportional to 248,483,013 and 540,598,857 is: 1,176,125,163.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,483,013 : 540,598,857 = 540,598,857 : x
  2. Step 2: Convert to fraction form
    248,483,013/540,598,857 = 540,598,857/x
  3. Step 3: Cross multiply
    248,483,013x = 540,598,857 × 540,598,857
  4. Step 4: Simplify right side
    248,483,013x = 292,247,124,189,706,432
  5. Step 5: Solve for x
    x = 292,247,124,189,706,432/248,483,013
  6. Step 6: Final answer
    x = 1,176,125,163.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.