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Finding the Third Proportional to 45,004.50 and 97,229.25

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Solution

The third proportional to 45,004.50 and 97,229.25 is: 210,057.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,004.50 : 97,229.25 = 97,229.25 : x
  2. Step 2: Convert to fraction form
    45,004.50/97,229.25 = 97,229.25/x
  3. Step 3: Cross multiply
    45,004.50x = 97,229.25 × 97,229.25
  4. Step 4: Simplify right side
    45,004.50x = 9,453,527,055.56
  5. Step 5: Solve for x
    x = 9,453,527,055.56/45,004.50
  6. Step 6: Final answer
    x = 210,057.37

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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.