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Finding the Third Proportional to 99,147.75 and 151,044.75

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Solution

The third proportional to 99,147.75 and 151,044.75 is: 230,106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,147.75 : 151,044.75 = 151,044.75 : x
  2. Step 2: Convert to fraction form
    99,147.75/151,044.75 = 151,044.75/x
  3. Step 3: Cross multiply
    99,147.75x = 151,044.75 × 151,044.75
  4. Step 4: Simplify right side
    99,147.75x = 22,814,516,502.56
  5. Step 5: Solve for x
    x = 22,814,516,502.56/99,147.75
  6. Step 6: Final answer
    x = 230,106.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.