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Finding the Third Proportional to 46,059.38 and 99,894.75

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Solution

The third proportional to 46,059.38 and 99,894.75 is: 216,654.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,059.38 : 99,894.75 = 99,894.75 : x
  2. Step 2: Convert to fraction form
    46,059.38/99,894.75 = 99,894.75/x
  3. Step 3: Cross multiply
    46,059.38x = 99,894.75 × 99,894.75
  4. Step 4: Simplify right side
    46,059.38x = 9,978,961,077.56
  5. Step 5: Solve for x
    x = 9,978,961,077.56/46,059.38
  6. Step 6: Final answer
    x = 216,654.29

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.