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Finding the Third Proportional to 128,815.31 and 194,632.88

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Solution

The third proportional to 128,815.31 and 194,632.88 is: 294,079.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,815.31 : 194,632.88 = 194,632.88 : x
  2. Step 2: Convert to fraction form
    128,815.31/194,632.88 = 194,632.88/x
  3. Step 3: Cross multiply
    128,815.31x = 194,632.88 × 194,632.88
  4. Step 4: Simplify right side
    128,815.31x = 37,881,956,030.77
  5. Step 5: Solve for x
    x = 37,881,956,030.77/128,815.31
  6. Step 6: Final answer
    x = 294,079.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.