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Finding the Third Proportional to 111,121,214 and 239,309,748

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Solution

The third proportional to 111,121,214 and 239,309,748 is: 515,375,538.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,121,214 : 239,309,748 = 239,309,748 : x
  2. Step 2: Convert to fraction form
    111,121,214/239,309,748 = 239,309,748/x
  3. Step 3: Cross multiply
    111,121,214x = 239,309,748 × 239,309,748
  4. Step 4: Simplify right side
    111,121,214x = 57,269,155,487,823,504
  5. Step 5: Solve for x
    x = 57,269,155,487,823,504/111,121,214
  6. Step 6: Final answer
    x = 515,375,538.35

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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.