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Finding the Third Proportional to 122,808.66 and 195,285.09

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Solution

The third proportional to 122,808.66 and 195,285.09 is: 310,534.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,808.66 : 195,285.09 = 195,285.09 : x
  2. Step 2: Convert to fraction form
    122,808.66/195,285.09 = 195,285.09/x
  3. Step 3: Cross multiply
    122,808.66x = 195,285.09 × 195,285.09
  4. Step 4: Simplify right side
    122,808.66x = 38,136,267,840.95
  5. Step 5: Solve for x
    x = 38,136,267,840.95/122,808.66
  6. Step 6: Final answer
    x = 310,534.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.