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Finding the Third Proportional to 96,505.50 and 146,398.50

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Solution

The third proportional to 96,505.50 and 146,398.50 is: 222,086.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,505.50 : 146,398.50 = 146,398.50 : x
  2. Step 2: Convert to fraction form
    96,505.50/146,398.50 = 146,398.50/x
  3. Step 3: Cross multiply
    96,505.50x = 146,398.50 × 146,398.50
  4. Step 4: Simplify right side
    96,505.50x = 21,432,520,802.25
  5. Step 5: Solve for x
    x = 21,432,520,802.25/96,505.50
  6. Step 6: Final answer
    x = 222,086.00

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.