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Finding the Third Proportional to 96,127,017 and 148,940,268

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Solution

The third proportional to 96,127,017 and 148,940,268 is: 230,769,705.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,127,017 : 148,940,268 = 148,940,268 : x
  2. Step 2: Convert to fraction form
    96,127,017/148,940,268 = 148,940,268/x
  3. Step 3: Cross multiply
    96,127,017x = 148,940,268 × 148,940,268
  4. Step 4: Simplify right side
    96,127,017x = 22,183,203,431,911,824
  5. Step 5: Solve for x
    x = 22,183,203,431,911,824/96,127,017
  6. Step 6: Final answer
    x = 230,769,705.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.