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Finding the Third Proportional to 86,815.50 and 190,248

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Solution

The third proportional to 86,815.50 and 190,248 is: 416,910.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,815.50 : 190,248 = 190,248 : x
  2. Step 2: Convert to fraction form
    86,815.50/190,248 = 190,248/x
  3. Step 3: Cross multiply
    86,815.50x = 190,248 × 190,248
  4. Step 4: Simplify right side
    86,815.50x = 36,194,301,504
  5. Step 5: Solve for x
    x = 36,194,301,504/86,815.50
  6. Step 6: Final answer
    x = 416,910.59

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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.