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Finding the Third Proportional to 86,055.19 and 186,406.88

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Solution

The third proportional to 86,055.19 and 186,406.88 is: 403,781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,055.19 : 186,406.88 = 186,406.88 : x
  2. Step 2: Convert to fraction form
    86,055.19/186,406.88 = 186,406.88/x
  3. Step 3: Cross multiply
    86,055.19x = 186,406.88 × 186,406.88
  4. Step 4: Simplify right side
    86,055.19x = 34,747,523,047.27
  5. Step 5: Solve for x
    x = 34,747,523,047.27/86,055.19
  6. Step 6: Final answer
    x = 403,781.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.