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Finding the Third Proportional to 98,923.50 and 146,540.25

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Solution

The third proportional to 98,923.50 and 146,540.25 is: 217,077.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,923.50 : 146,540.25 = 146,540.25 : x
  2. Step 2: Convert to fraction form
    98,923.50/146,540.25 = 146,540.25/x
  3. Step 3: Cross multiply
    98,923.50x = 146,540.25 × 146,540.25
  4. Step 4: Simplify right side
    98,923.50x = 21,474,044,870.06
  5. Step 5: Solve for x
    x = 21,474,044,870.06/98,923.50
  6. Step 6: Final answer
    x = 217,077.29

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.