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Finding the Third Proportional to 99,788 and 149,680

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Solution

The third proportional to 99,788 and 149,680 is: 224,517.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,788 : 149,680 = 149,680 : x
  2. Step 2: Convert to fraction form
    99,788/149,680 = 149,680/x
  3. Step 3: Cross multiply
    99,788x = 149,680 × 149,680
  4. Step 4: Simplify right side
    99,788x = 22,404,102,400
  5. Step 5: Solve for x
    x = 22,404,102,400/99,788
  6. Step 6: Final answer
    x = 224,517.00

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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.