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Finding the Third Proportional to 45,994.50 and 99,247.50

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Solution

The third proportional to 45,994.50 and 99,247.50 is: 214,157.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,994.50 : 99,247.50 = 99,247.50 : x
  2. Step 2: Convert to fraction form
    45,994.50/99,247.50 = 99,247.50/x
  3. Step 3: Cross multiply
    45,994.50x = 99,247.50 × 99,247.50
  4. Step 4: Simplify right side
    45,994.50x = 9,850,066,256.25
  5. Step 5: Solve for x
    x = 9,850,066,256.25/45,994.50
  6. Step 6: Final answer
    x = 214,157.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.