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Finding the Third Proportional to 86,599.13 and 190,208.25

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Solution

The third proportional to 86,599.13 and 190,208.25 is: 417,777.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,599.13 : 190,208.25 = 190,208.25 : x
  2. Step 2: Convert to fraction form
    86,599.13/190,208.25 = 190,208.25/x
  3. Step 3: Cross multiply
    86,599.13x = 190,208.25 × 190,208.25
  4. Step 4: Simplify right side
    86,599.13x = 36,179,178,368.06
  5. Step 5: Solve for x
    x = 36,179,178,368.06/86,599.13
  6. Step 6: Final answer
    x = 417,777.64

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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.