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Finding the Third Proportional to 46,146.38 and 100,296.56

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Solution

The third proportional to 46,146.38 and 100,296.56 is: 217,988.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,146.38 : 100,296.56 = 100,296.56 : x
  2. Step 2: Convert to fraction form
    46,146.38/100,296.56 = 100,296.56/x
  3. Step 3: Cross multiply
    46,146.38x = 100,296.56 × 100,296.56
  4. Step 4: Simplify right side
    46,146.38x = 10,059,400,449.32
  5. Step 5: Solve for x
    x = 10,059,400,449.32/46,146.38
  6. Step 6: Final answer
    x = 217,988.96

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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.