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Finding the Third Proportional to 41,547.94 and 90,708.19

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Solution

The third proportional to 41,547.94 and 90,708.19 is: 198,035.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,547.94 : 90,708.19 = 90,708.19 : x
  2. Step 2: Convert to fraction form
    41,547.94/90,708.19 = 90,708.19/x
  3. Step 3: Cross multiply
    41,547.94x = 90,708.19 × 90,708.19
  4. Step 4: Simplify right side
    41,547.94x = 8,227,975,279.54
  5. Step 5: Solve for x
    x = 8,227,975,279.54/41,547.94
  6. Step 6: Final answer
    x = 198,035.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.