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Finding the Third Proportional to 86,938.95 and 183,218.20

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Solution

The third proportional to 86,938.95 and 183,218.20 is: 386,120.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,938.95 : 183,218.20 = 183,218.20 : x
  2. Step 2: Convert to fraction form
    86,938.95/183,218.20 = 183,218.20/x
  3. Step 3: Cross multiply
    86,938.95x = 183,218.20 × 183,218.20
  4. Step 4: Simplify right side
    86,938.95x = 33,568,909,956.35
  5. Step 5: Solve for x
    x = 33,568,909,956.35/86,938.95
  6. Step 6: Final answer
    x = 386,120.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.