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Finding the Third Proportional to 99,829 and 150,783

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Solution

The third proportional to 99,829 and 150,783 is: 227,744.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,829 : 150,783 = 150,783 : x
  2. Step 2: Convert to fraction form
    99,829/150,783 = 150,783/x
  3. Step 3: Cross multiply
    99,829x = 150,783 × 150,783
  4. Step 4: Simplify right side
    99,829x = 22,735,513,089
  5. Step 5: Solve for x
    x = 22,735,513,089/99,829
  6. Step 6: Final answer
    x = 227,744.57

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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.