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Finding the Third Proportional to 86,808.50 and 190,235

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Solution

The third proportional to 86,808.50 and 190,235 is: 416,887.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,808.50 : 190,235 = 190,235 : x
  2. Step 2: Convert to fraction form
    86,808.50/190,235 = 190,235/x
  3. Step 3: Cross multiply
    86,808.50x = 190,235 × 190,235
  4. Step 4: Simplify right side
    86,808.50x = 36,189,355,225
  5. Step 5: Solve for x
    x = 36,189,355,225/86,808.50
  6. Step 6: Final answer
    x = 416,887.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.