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Finding the Third Proportional to 98,250.25 and 148,309.25

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Solution

The third proportional to 98,250.25 and 148,309.25 is: 223,873.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,250.25 : 148,309.25 = 148,309.25 : x
  2. Step 2: Convert to fraction form
    98,250.25/148,309.25 = 148,309.25/x
  3. Step 3: Cross multiply
    98,250.25x = 148,309.25 × 148,309.25
  4. Step 4: Simplify right side
    98,250.25x = 21,995,633,635.56
  5. Step 5: Solve for x
    x = 21,995,633,635.56/98,250.25
  6. Step 6: Final answer
    x = 223,873.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.