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Finding the Third Proportional to 45,015.75 and 94,337.16

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Solution

The third proportional to 45,015.75 and 94,337.16 is: 197,697.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,015.75 : 94,337.16 = 94,337.16 : x
  2. Step 2: Convert to fraction form
    45,015.75/94,337.16 = 94,337.16/x
  3. Step 3: Cross multiply
    45,015.75x = 94,337.16 × 94,337.16
  4. Step 4: Simplify right side
    45,015.75x = 8,899,499,049.34
  5. Step 5: Solve for x
    x = 8,899,499,049.34/45,015.75
  6. Step 6: Final answer
    x = 197,697.45

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.