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Finding the Third Proportional to 99,066 and 150,495

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Solution

The third proportional to 99,066 and 150,495 is: 228,622.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,066 : 150,495 = 150,495 : x
  2. Step 2: Convert to fraction form
    99,066/150,495 = 150,495/x
  3. Step 3: Cross multiply
    99,066x = 150,495 × 150,495
  4. Step 4: Simplify right side
    99,066x = 22,648,745,025
  5. Step 5: Solve for x
    x = 22,648,745,025/99,066
  6. Step 6: Final answer
    x = 228,622.79

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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.