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Finding the Third Proportional to 41,685.75 and 91,316.25

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Solution

The third proportional to 41,685.75 and 91,316.25 is: 200,036.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,685.75 : 91,316.25 = 91,316.25 : x
  2. Step 2: Convert to fraction form
    41,685.75/91,316.25 = 91,316.25/x
  3. Step 3: Cross multiply
    41,685.75x = 91,316.25 × 91,316.25
  4. Step 4: Simplify right side
    41,685.75x = 8,338,657,514.06
  5. Step 5: Solve for x
    x = 8,338,657,514.06/41,685.75
  6. Step 6: Final answer
    x = 200,036.16

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.