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Finding the Third Proportional to 41,644.13 and 91,580.63

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Solution

The third proportional to 41,644.13 and 91,580.63 is: 201,397.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,644.13 : 91,580.63 = 91,580.63 : x
  2. Step 2: Convert to fraction form
    41,644.13/91,580.63 = 91,580.63/x
  3. Step 3: Cross multiply
    41,644.13x = 91,580.63 × 91,580.63
  4. Step 4: Simplify right side
    41,644.13x = 8,387,010,875.39
  5. Step 5: Solve for x
    x = 8,387,010,875.39/41,644.13
  6. Step 6: Final answer
    x = 201,397.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.