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Finding the Third Proportional to 44,540.19 and 96,042.90

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Solution

The third proportional to 44,540.19 and 96,042.90 is: 207,099.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,540.19 : 96,042.90 = 96,042.90 : x
  2. Step 2: Convert to fraction form
    44,540.19/96,042.90 = 96,042.90/x
  3. Step 3: Cross multiply
    44,540.19x = 96,042.90 × 96,042.90
  4. Step 4: Simplify right side
    44,540.19x = 9,224,239,090.61
  5. Step 5: Solve for x
    x = 9,224,239,090.61/44,540.19
  6. Step 6: Final answer
    x = 207,099.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.