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Finding the Third Proportional to 86,055.56 and 186,407.63

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Solution

The third proportional to 86,055.56 and 186,407.63 is: 403,783.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,055.56 : 186,407.63 = 186,407.63 : x
  2. Step 2: Convert to fraction form
    86,055.56/186,407.63 = 186,407.63/x
  3. Step 3: Cross multiply
    86,055.56x = 186,407.63 × 186,407.63
  4. Step 4: Simplify right side
    86,055.56x = 34,747,802,658.14
  5. Step 5: Solve for x
    x = 34,747,802,658.14/86,055.56
  6. Step 6: Final answer
    x = 403,783.34

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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.