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Finding the Third Proportional to 45,885.75 and 97,278.75

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Solution

The third proportional to 45,885.75 and 97,278.75 is: 206,232.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,885.75 : 97,278.75 = 97,278.75 : x
  2. Step 2: Convert to fraction form
    45,885.75/97,278.75 = 97,278.75/x
  3. Step 3: Cross multiply
    45,885.75x = 97,278.75 × 97,278.75
  4. Step 4: Simplify right side
    45,885.75x = 9,463,155,201.56
  5. Step 5: Solve for x
    x = 9,463,155,201.56/45,885.75
  6. Step 6: Final answer
    x = 206,232.99

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.