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Finding the Third Proportional to 44,741.11 and 96,487.45

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Solution

The third proportional to 44,741.11 and 96,487.45 is: 208,082.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,741.11 : 96,487.45 = 96,487.45 : x
  2. Step 2: Convert to fraction form
    44,741.11/96,487.45 = 96,487.45/x
  3. Step 3: Cross multiply
    44,741.11x = 96,487.45 × 96,487.45
  4. Step 4: Simplify right side
    44,741.11x = 9,309,828,610.55
  5. Step 5: Solve for x
    x = 9,309,828,610.55/44,741.11
  6. Step 6: Final answer
    x = 208,082.20

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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.