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Finding the Third Proportional to 86,938 and 190,772

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Solution

The third proportional to 86,938 and 190,772 is: 418,619.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,938 : 190,772 = 190,772 : x
  2. Step 2: Convert to fraction form
    86,938/190,772 = 190,772/x
  3. Step 3: Cross multiply
    86,938x = 190,772 × 190,772
  4. Step 4: Simplify right side
    86,938x = 36,393,955,984
  5. Step 5: Solve for x
    x = 36,393,955,984/86,938
  6. Step 6: Final answer
    x = 418,619.66

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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.