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Finding the Third Proportional to 44,655.75 and 95,452.31

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Solution

The third proportional to 44,655.75 and 95,452.31 is: 204,030.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,655.75 : 95,452.31 = 95,452.31 : x
  2. Step 2: Convert to fraction form
    44,655.75/95,452.31 = 95,452.31/x
  3. Step 3: Cross multiply
    44,655.75x = 95,452.31 × 95,452.31
  4. Step 4: Simplify right side
    44,655.75x = 9,111,143,961.60
  5. Step 5: Solve for x
    x = 9,111,143,961.60/44,655.75
  6. Step 6: Final answer
    x = 204,030.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.