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Finding the Third Proportional to 68,661,396 and 96,228,768

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Solution

The third proportional to 68,661,396 and 96,228,768 is: 134,864,368.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,661,396 : 96,228,768 = 96,228,768 : x
  2. Step 2: Convert to fraction form
    68,661,396/96,228,768 = 96,228,768/x
  3. Step 3: Cross multiply
    68,661,396x = 96,228,768 × 96,228,768
  4. Step 4: Simplify right side
    68,661,396x = 9,259,975,790,797,824
  5. Step 5: Solve for x
    x = 9,259,975,790,797,824/68,661,396
  6. Step 6: Final answer
    x = 134,864,368.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.