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Finding the Third Proportional to 88,705 and 193,799

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Solution

The third proportional to 88,705 and 193,799 is: 423,404.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,705 : 193,799 = 193,799 : x
  2. Step 2: Convert to fraction form
    88,705/193,799 = 193,799/x
  3. Step 3: Cross multiply
    88,705x = 193,799 × 193,799
  4. Step 4: Simplify right side
    88,705x = 37,558,052,401
  5. Step 5: Solve for x
    x = 37,558,052,401/88,705
  6. Step 6: Final answer
    x = 423,404.01

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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.