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Finding the Third Proportional to 99,777 and 150,703.50

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Solution

The third proportional to 99,777 and 150,703.50 is: 227,623.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,777 : 150,703.50 = 150,703.50 : x
  2. Step 2: Convert to fraction form
    99,777/150,703.50 = 150,703.50/x
  3. Step 3: Cross multiply
    99,777x = 150,703.50 × 150,703.50
  4. Step 4: Simplify right side
    99,777x = 22,711,544,912.25
  5. Step 5: Solve for x
    x = 22,711,544,912.25/99,777
  6. Step 6: Final answer
    x = 227,623.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.