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Finding the Third Proportional to 120,529.13 and 230,122.13

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Solution

The third proportional to 120,529.13 and 230,122.13 is: 439,364.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,529.13 : 230,122.13 = 230,122.13 : x
  2. Step 2: Convert to fraction form
    120,529.13/230,122.13 = 230,122.13/x
  3. Step 3: Cross multiply
    120,529.13x = 230,122.13 × 230,122.13
  4. Step 4: Simplify right side
    120,529.13x = 52,956,192,414.52
  5. Step 5: Solve for x
    x = 52,956,192,414.52/120,529.13
  6. Step 6: Final answer
    x = 439,364.28

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.