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Finding the Third Proportional to 122,177.11 and 189,177.40

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Solution

The third proportional to 122,177.11 and 189,177.40 is: 292,919.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,177.11 : 189,177.40 = 189,177.40 : x
  2. Step 2: Convert to fraction form
    122,177.11/189,177.40 = 189,177.40/x
  3. Step 3: Cross multiply
    122,177.11x = 189,177.40 × 189,177.40
  4. Step 4: Simplify right side
    122,177.11x = 35,788,088,079.58
  5. Step 5: Solve for x
    x = 35,788,088,079.58/122,177.11
  6. Step 6: Final answer
    x = 292,919.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.