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Finding the Third Proportional to 122,948.44 and 195,499.41

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Solution

The third proportional to 122,948.44 and 195,499.41 is: 310,862.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,948.44 : 195,499.41 = 195,499.41 : x
  2. Step 2: Convert to fraction form
    122,948.44/195,499.41 = 195,499.41/x
  3. Step 3: Cross multiply
    122,948.44x = 195,499.41 × 195,499.41
  4. Step 4: Simplify right side
    122,948.44x = 38,220,017,844.10
  5. Step 5: Solve for x
    x = 38,220,017,844.10/122,948.44
  6. Step 6: Final answer
    x = 310,862.17

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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.