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Finding the Third Proportional to 86,806 and 190,289

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Solution

The third proportional to 86,806 and 190,289 is: 417,135.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,806 : 190,289 = 190,289 : x
  2. Step 2: Convert to fraction form
    86,806/190,289 = 190,289/x
  3. Step 3: Cross multiply
    86,806x = 190,289 × 190,289
  4. Step 4: Simplify right side
    86,806x = 36,209,903,521
  5. Step 5: Solve for x
    x = 36,209,903,521/86,806
  6. Step 6: Final answer
    x = 417,135.95

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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.