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Finding the Third Proportional to 86,888.50 and 190,385

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Solution

The third proportional to 86,888.50 and 190,385 is: 417,160.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,888.50 : 190,385 = 190,385 : x
  2. Step 2: Convert to fraction form
    86,888.50/190,385 = 190,385/x
  3. Step 3: Cross multiply
    86,888.50x = 190,385 × 190,385
  4. Step 4: Simplify right side
    86,888.50x = 36,246,448,225
  5. Step 5: Solve for x
    x = 36,246,448,225/86,888.50
  6. Step 6: Final answer
    x = 417,160.48

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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.