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Finding the Third Proportional to 98,208.75 and 150,166.88

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Solution

The third proportional to 98,208.75 and 150,166.88 is: 229,613.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,208.75 : 150,166.88 = 150,166.88 : x
  2. Step 2: Convert to fraction form
    98,208.75/150,166.88 = 150,166.88/x
  3. Step 3: Cross multiply
    98,208.75x = 150,166.88 × 150,166.88
  4. Step 4: Simplify right side
    98,208.75x = 22,550,090,347.27
  5. Step 5: Solve for x
    x = 22,550,090,347.27/98,208.75
  6. Step 6: Final answer
    x = 229,613.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.