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Finding the Third Proportional to 104,806.41 and 148,157.86

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Solution

The third proportional to 104,806.41 and 148,157.86 is: 209,440.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,806.41 : 148,157.86 = 148,157.86 : x
  2. Step 2: Convert to fraction form
    104,806.41/148,157.86 = 148,157.86/x
  3. Step 3: Cross multiply
    104,806.41x = 148,157.86 × 148,157.86
  4. Step 4: Simplify right side
    104,806.41x = 21,950,751,294.58
  5. Step 5: Solve for x
    x = 21,950,751,294.58/104,806.41
  6. Step 6: Final answer
    x = 209,440.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.