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Finding the Third Proportional to 191,992.78 and 418,434.61

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Solution

The third proportional to 191,992.78 and 418,434.61 is: 911,948.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,992.78 : 418,434.61 = 418,434.61 : x
  2. Step 2: Convert to fraction form
    191,992.78/418,434.61 = 418,434.61/x
  3. Step 3: Cross multiply
    191,992.78x = 418,434.61 × 418,434.61
  4. Step 4: Simplify right side
    191,992.78x = 175,087,522,322.81
  5. Step 5: Solve for x
    x = 175,087,522,322.81/191,992.78
  6. Step 6: Final answer
    x = 911,948.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.