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Finding the Third Proportional to 103,617.56 and 154,784.67

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Solution

The third proportional to 103,617.56 and 154,784.67 is: 231,218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,617.56 : 154,784.67 = 154,784.67 : x
  2. Step 2: Convert to fraction form
    103,617.56/154,784.67 = 154,784.67/x
  3. Step 3: Cross multiply
    103,617.56x = 154,784.67 × 154,784.67
  4. Step 4: Simplify right side
    103,617.56x = 23,958,294,647.45
  5. Step 5: Solve for x
    x = 23,958,294,647.45/103,617.56
  6. Step 6: Final answer
    x = 231,218.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.