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Finding the Third Proportional to 100,417.22 and 137,694.94

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Solution

The third proportional to 100,417.22 and 137,694.94 is: 188,811.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,417.22 : 137,694.94 = 137,694.94 : x
  2. Step 2: Convert to fraction form
    100,417.22/137,694.94 = 137,694.94/x
  3. Step 3: Cross multiply
    100,417.22x = 137,694.94 × 137,694.94
  4. Step 4: Simplify right side
    100,417.22x = 18,959,895,813.13
  5. Step 5: Solve for x
    x = 18,959,895,813.13/100,417.22
  6. Step 6: Final answer
    x = 188,811.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.