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Finding the Third Proportional to 68,816.25 and 151,603.31

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Solution

The third proportional to 68,816.25 and 151,603.31 is: 333,984.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,816.25 : 151,603.31 = 151,603.31 : x
  2. Step 2: Convert to fraction form
    68,816.25/151,603.31 = 151,603.31/x
  3. Step 3: Cross multiply
    68,816.25x = 151,603.31 × 151,603.31
  4. Step 4: Simplify right side
    68,816.25x = 22,983,564,360.97
  5. Step 5: Solve for x
    x = 22,983,564,360.97/68,816.25
  6. Step 6: Final answer
    x = 333,984.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.