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Finding the Third Proportional to 98,550.50 and 151,686.75

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Solution

The third proportional to 98,550.50 and 151,686.75 is: 233,472.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,550.50 : 151,686.75 = 151,686.75 : x
  2. Step 2: Convert to fraction form
    98,550.50/151,686.75 = 151,686.75/x
  3. Step 3: Cross multiply
    98,550.50x = 151,686.75 × 151,686.75
  4. Step 4: Simplify right side
    98,550.50x = 23,008,870,125.56
  5. Step 5: Solve for x
    x = 23,008,870,125.56/98,550.50
  6. Step 6: Final answer
    x = 233,472.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.