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Finding the Third Proportional to 149,908.22 and 198,071.58

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Solution

The third proportional to 149,908.22 and 198,071.58 is: 261,709.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,908.22 : 198,071.58 = 198,071.58 : x
  2. Step 2: Convert to fraction form
    149,908.22/198,071.58 = 198,071.58/x
  3. Step 3: Cross multiply
    149,908.22x = 198,071.58 × 198,071.58
  4. Step 4: Simplify right side
    149,908.22x = 39,232,350,060.93
  5. Step 5: Solve for x
    x = 39,232,350,060.93/149,908.22
  6. Step 6: Final answer
    x = 261,709.13

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.