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Finding the Third Proportional to 97,793 and 146,905.50

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Solution

The third proportional to 97,793 and 146,905.50 is: 220,682.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,793 : 146,905.50 = 146,905.50 : x
  2. Step 2: Convert to fraction form
    97,793/146,905.50 = 146,905.50/x
  3. Step 3: Cross multiply
    97,793x = 146,905.50 × 146,905.50
  4. Step 4: Simplify right side
    97,793x = 21,581,225,930.25
  5. Step 5: Solve for x
    x = 21,581,225,930.25/97,793
  6. Step 6: Final answer
    x = 220,682.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.