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Finding the Third Proportional to 146,108.50 and 197,994.50

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Solution

The third proportional to 146,108.50 and 197,994.50 is: 268,306.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,108.50 : 197,994.50 = 197,994.50 : x
  2. Step 2: Convert to fraction form
    146,108.50/197,994.50 = 197,994.50/x
  3. Step 3: Cross multiply
    146,108.50x = 197,994.50 × 197,994.50
  4. Step 4: Simplify right side
    146,108.50x = 39,201,822,030.25
  5. Step 5: Solve for x
    x = 39,201,822,030.25/146,108.50
  6. Step 6: Final answer
    x = 268,306.24

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.