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Finding the Third Proportional to 45,103.50 and 96,857.44

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Solution

The third proportional to 45,103.50 and 96,857.44 is: 207,996.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,103.50 : 96,857.44 = 96,857.44 : x
  2. Step 2: Convert to fraction form
    45,103.50/96,857.44 = 96,857.44/x
  3. Step 3: Cross multiply
    45,103.50x = 96,857.44 × 96,857.44
  4. Step 4: Simplify right side
    45,103.50x = 9,381,363,199.07
  5. Step 5: Solve for x
    x = 9,381,363,199.07/45,103.50
  6. Step 6: Final answer
    x = 207,996.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.