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Finding the Third Proportional to 45,744.75 and 101,353.78

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Solution

The third proportional to 45,744.75 and 101,353.78 is: 224,563.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,744.75 : 101,353.78 = 101,353.78 : x
  2. Step 2: Convert to fraction form
    45,744.75/101,353.78 = 101,353.78/x
  3. Step 3: Cross multiply
    45,744.75x = 101,353.78 × 101,353.78
  4. Step 4: Simplify right side
    45,744.75x = 10,272,588,973.67
  5. Step 5: Solve for x
    x = 10,272,588,973.67/45,744.75
  6. Step 6: Final answer
    x = 224,563.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.