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Finding the Third Proportional to 89,886.94 and 199,726.88

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Solution

The third proportional to 89,886.94 and 199,726.88 is: 443,788.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,886.94 : 199,726.88 = 199,726.88 : x
  2. Step 2: Convert to fraction form
    89,886.94/199,726.88 = 199,726.88/x
  3. Step 3: Cross multiply
    89,886.94x = 199,726.88 × 199,726.88
  4. Step 4: Simplify right side
    89,886.94x = 39,890,824,597.27
  5. Step 5: Solve for x
    x = 39,890,824,597.27/89,886.94
  6. Step 6: Final answer
    x = 443,788.89

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.