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Finding the Third Proportional to 101,363.06 and 146,010.09

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Solution

The third proportional to 101,363.06 and 146,010.09 is: 210,322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,363.06 : 146,010.09 = 146,010.09 : x
  2. Step 2: Convert to fraction form
    101,363.06/146,010.09 = 146,010.09/x
  3. Step 3: Cross multiply
    101,363.06x = 146,010.09 × 146,010.09
  4. Step 4: Simplify right side
    101,363.06x = 21,318,947,476.88
  5. Step 5: Solve for x
    x = 21,318,947,476.88/101,363.06
  6. Step 6: Final answer
    x = 210,322.65

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.