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Finding the Third Proportional to 99,430 and 150,589

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Solution

The third proportional to 99,430 and 150,589 is: 228,070.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,430 : 150,589 = 150,589 : x
  2. Step 2: Convert to fraction form
    99,430/150,589 = 150,589/x
  3. Step 3: Cross multiply
    99,430x = 150,589 × 150,589
  4. Step 4: Simplify right side
    99,430x = 22,677,046,921
  5. Step 5: Solve for x
    x = 22,677,046,921/99,430
  6. Step 6: Final answer
    x = 228,070.47

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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.