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Finding the Third Proportional to 68,230.69 and 148,058.44

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Solution

The third proportional to 68,230.69 and 148,058.44 is: 321,282.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,230.69 : 148,058.44 = 148,058.44 : x
  2. Step 2: Convert to fraction form
    68,230.69/148,058.44 = 148,058.44/x
  3. Step 3: Cross multiply
    68,230.69x = 148,058.44 × 148,058.44
  4. Step 4: Simplify right side
    68,230.69x = 21,921,300,914.94
  5. Step 5: Solve for x
    x = 21,921,300,914.94/68,230.69
  6. Step 6: Final answer
    x = 321,282.13

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.