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Finding the Third Proportional to 96,546.94 and 147,693.38

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Solution

The third proportional to 96,546.94 and 147,693.38 is: 225,935.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,546.94 : 147,693.38 = 147,693.38 : x
  2. Step 2: Convert to fraction form
    96,546.94/147,693.38 = 147,693.38/x
  3. Step 3: Cross multiply
    96,546.94x = 147,693.38 × 147,693.38
  4. Step 4: Simplify right side
    96,546.94x = 21,813,333,018.89
  5. Step 5: Solve for x
    x = 21,813,333,018.89/96,546.94
  6. Step 6: Final answer
    x = 225,935.01

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.