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Finding the Third Proportional to 248,359,344 and 522,458,112

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Solution

The third proportional to 248,359,344 and 522,458,112 is: 1,099,062,650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,359,344 : 522,458,112 = 522,458,112 : x
  2. Step 2: Convert to fraction form
    248,359,344/522,458,112 = 522,458,112/x
  3. Step 3: Cross multiply
    248,359,344x = 522,458,112 × 522,458,112
  4. Step 4: Simplify right side
    248,359,344x = 272,962,478,794,604,544
  5. Step 5: Solve for x
    x = 272,962,478,794,604,544/248,359,344
  6. Step 6: Final answer
    x = 1,099,062,650.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.