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Finding the Third Proportional to 94,581.56 and 197,925.75

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Solution

The third proportional to 94,581.56 and 197,925.75 is: 414,188.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,581.56 : 197,925.75 = 197,925.75 : x
  2. Step 2: Convert to fraction form
    94,581.56/197,925.75 = 197,925.75/x
  3. Step 3: Cross multiply
    94,581.56x = 197,925.75 × 197,925.75
  4. Step 4: Simplify right side
    94,581.56x = 39,174,602,513.06
  5. Step 5: Solve for x
    x = 39,174,602,513.06/94,581.56
  6. Step 6: Final answer
    x = 414,188.57

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.