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Finding the Third Proportional to 89,890.88 and 199,733.63

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Solution

The third proportional to 89,890.88 and 199,733.63 is: 443,799.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,890.88 : 199,733.63 = 199,733.63 : x
  2. Step 2: Convert to fraction form
    89,890.88/199,733.63 = 199,733.63/x
  3. Step 3: Cross multiply
    89,890.88x = 199,733.63 × 199,733.63
  4. Step 4: Simplify right side
    89,890.88x = 39,893,520,955.64
  5. Step 5: Solve for x
    x = 39,893,520,955.64/89,890.88
  6. Step 6: Final answer
    x = 443,799.45

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Why These Related Problems?

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