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Finding the Third Proportional to 99,230 and 148,863

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Solution

The third proportional to 99,230 and 148,863 is: 223,321.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,230 : 148,863 = 148,863 : x
  2. Step 2: Convert to fraction form
    99,230/148,863 = 148,863/x
  3. Step 3: Cross multiply
    99,230x = 148,863 × 148,863
  4. Step 4: Simplify right side
    99,230x = 22,160,192,769
  5. Step 5: Solve for x
    x = 22,160,192,769/99,230
  6. Step 6: Final answer
    x = 223,321.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.