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Finding the Third Proportional to 45,552.38 and 97,817.63

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Solution

The third proportional to 45,552.38 and 97,817.63 is: 210,050.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,552.38 : 97,817.63 = 97,817.63 : x
  2. Step 2: Convert to fraction form
    45,552.38/97,817.63 = 97,817.63/x
  3. Step 3: Cross multiply
    45,552.38x = 97,817.63 × 97,817.63
  4. Step 4: Simplify right side
    45,552.38x = 9,568,287,760.64
  5. Step 5: Solve for x
    x = 9,568,287,760.64/45,552.38
  6. Step 6: Final answer
    x = 210,050.25

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.