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Finding the Third Proportional to 44,614.50 and 99,069

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Solution

The third proportional to 44,614.50 and 99,069 is: 219,988.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,614.50 : 99,069 = 99,069 : x
  2. Step 2: Convert to fraction form
    44,614.50/99,069 = 99,069/x
  3. Step 3: Cross multiply
    44,614.50x = 99,069 × 99,069
  4. Step 4: Simplify right side
    44,614.50x = 9,814,666,761
  5. Step 5: Solve for x
    x = 9,814,666,761/44,614.50
  6. Step 6: Final answer
    x = 219,988.27

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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.