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Finding the Third Proportional to 86,498 and 190,035

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Solution

The third proportional to 86,498 and 190,035 is: 417,504.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,498 : 190,035 = 190,035 : x
  2. Step 2: Convert to fraction form
    86,498/190,035 = 190,035/x
  3. Step 3: Cross multiply
    86,498x = 190,035 × 190,035
  4. Step 4: Simplify right side
    86,498x = 36,113,301,225
  5. Step 5: Solve for x
    x = 36,113,301,225/86,498
  6. Step 6: Final answer
    x = 417,504.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.