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Finding the Third Proportional to 88,899.75 and 192,865.50

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Solution

The third proportional to 88,899.75 and 192,865.50 is: 418,416.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,899.75 : 192,865.50 = 192,865.50 : x
  2. Step 2: Convert to fraction form
    88,899.75/192,865.50 = 192,865.50/x
  3. Step 3: Cross multiply
    88,899.75x = 192,865.50 × 192,865.50
  4. Step 4: Simplify right side
    88,899.75x = 37,197,101,090.25
  5. Step 5: Solve for x
    x = 37,197,101,090.25/88,899.75
  6. Step 6: Final answer
    x = 418,416.26

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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.