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Finding the Third Proportional to 45,211.88 and 98,207.44

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Solution

The third proportional to 45,211.88 and 98,207.44 is: 213,322.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,211.88 : 98,207.44 = 98,207.44 : x
  2. Step 2: Convert to fraction form
    45,211.88/98,207.44 = 98,207.44/x
  3. Step 3: Cross multiply
    45,211.88x = 98,207.44 × 98,207.44
  4. Step 4: Simplify right side
    45,211.88x = 9,644,700,780.32
  5. Step 5: Solve for x
    x = 9,644,700,780.32/45,211.88
  6. Step 6: Final answer
    x = 213,322.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.