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Finding the Third Proportional to 106,918.88 and 149,478.75

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Solution

The third proportional to 106,918.88 and 149,478.75 is: 208,979.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,918.88 : 149,478.75 = 149,478.75 : x
  2. Step 2: Convert to fraction form
    106,918.88/149,478.75 = 149,478.75/x
  3. Step 3: Cross multiply
    106,918.88x = 149,478.75 × 149,478.75
  4. Step 4: Simplify right side
    106,918.88x = 22,343,896,701.56
  5. Step 5: Solve for x
    x = 22,343,896,701.56/106,918.88
  6. Step 6: Final answer
    x = 208,979.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.