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Finding the Third Proportional to 44,302.50 and 96,381

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Solution

The third proportional to 44,302.50 and 96,381 is: 209,678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,302.50 : 96,381 = 96,381 : x
  2. Step 2: Convert to fraction form
    44,302.50/96,381 = 96,381/x
  3. Step 3: Cross multiply
    44,302.50x = 96,381 × 96,381
  4. Step 4: Simplify right side
    44,302.50x = 9,289,297,161
  5. Step 5: Solve for x
    x = 9,289,297,161/44,302.50
  6. Step 6: Final answer
    x = 209,678.85

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Why These Related Problems?

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