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Finding the Third Proportional to 41,870.25 and 91,256.63

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Solution

The third proportional to 41,870.25 and 91,256.63 is: 198,894.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,870.25 : 91,256.63 = 91,256.63 : x
  2. Step 2: Convert to fraction form
    41,870.25/91,256.63 = 91,256.63/x
  3. Step 3: Cross multiply
    41,870.25x = 91,256.63 × 91,256.63
  4. Step 4: Simplify right side
    41,870.25x = 8,327,771,606.39
  5. Step 5: Solve for x
    x = 8,327,771,606.39/41,870.25
  6. Step 6: Final answer
    x = 198,894.72

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