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Finding the Third Proportional to 99,114 and 150,995

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Solution

The third proportional to 99,114 and 150,995 is: 230,032.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,114 : 150,995 = 150,995 : x
  2. Step 2: Convert to fraction form
    99,114/150,995 = 150,995/x
  3. Step 3: Cross multiply
    99,114x = 150,995 × 150,995
  4. Step 4: Simplify right side
    99,114x = 22,799,490,025
  5. Step 5: Solve for x
    x = 22,799,490,025/99,114
  6. Step 6: Final answer
    x = 230,032.99

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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.