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Finding the Third Proportional to 149,809.50 and 199,427.06

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Solution

The third proportional to 149,809.50 and 199,427.06 is: 265,478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,809.50 : 199,427.06 = 199,427.06 : x
  2. Step 2: Convert to fraction form
    149,809.50/199,427.06 = 199,427.06/x
  3. Step 3: Cross multiply
    149,809.50x = 199,427.06 × 199,427.06
  4. Step 4: Simplify right side
    149,809.50x = 39,771,153,257.38
  5. Step 5: Solve for x
    x = 39,771,153,257.38/149,809.50
  6. Step 6: Final answer
    x = 265,478.18

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.