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Finding the Third Proportional to 68,231,634 and 97,571,910.38

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Solution

The third proportional to 68,231,634 and 97,571,910.38 is: 139,528,795.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,231,634 : 97,571,910.38 = 97,571,910.38 : x
  2. Step 2: Convert to fraction form
    68,231,634/97,571,910.38 = 97,571,910.38/x
  3. Step 3: Cross multiply
    68,231,634x = 97,571,910.38 × 97,571,910.38
  4. Step 4: Simplify right side
    68,231,634x = 9,520,277,694,227,032
  5. Step 5: Solve for x
    x = 9,520,277,694,227,032/68,231,634
  6. Step 6: Final answer
    x = 139,528,795.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.